Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download On Some Complex Function Spaces And Classes full books in PDF, epub, and Kindle. Read online On Some Complex Function Spaces And Classes ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Jouni Rättyä
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (318 download)
Download or read book On Some Complex Function Spaces and Classes written by Jouni Rättyä and published by . This book was released on 2001 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Taha Yaseen
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659255915
Total Pages : 120 pages
Book Rating : 4.2/5 (559 download)
Download or read book On Some Complex Function Spaces written by Taha Yaseen and published by LAP Lambert Academic Publishing. This book was released on 2015-02-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with some function spaces and classes of analytic and hyperbolic-type. We study two kinds of complex-valued function spaces as follows: First, we study general classes of functions the so called Q_{k, w}(p; q)- type classes. For these classes, we obtain: Characterizations in terms of Carleson measures. Characterizations by the help of Hadamard gap class. Some important inequalities related to these classes with some other classes of analytic functions. Moreover for these classes: We study Hadamard products defined by integral norms acting between functions belonging to these classes. Secondly, we apply some certain operators on function spaces and classes of hyperbolic-type. Further, we introduce some new weighted hyperbolic classes of functions. These classes are shown to be complete quasi-metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition and superposition operator to be bounded and compac
Author : Bent Hirsberg
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (741 download)
Download or read book On a Class of Complex Function Spaces written by Bent Hirsberg and published by . This book was released on 1972 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Miroslav Pavlović
Publisher : Walter de Gruyter
ISBN 13 : 3110281902
Total Pages : 463 pages
Book Rating : 4.1/5 (12 download)
Download or read book Function Classes on the Unit Disc written by Miroslav Pavlović and published by Walter de Gruyter. This book was released on 2013-12-12 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (C, α)-maximal theorems and (C, α)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all p > 0) and Calderón's area theorem; a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights. It also contains a discussion of analytic functions and lacunary series with values in quasi-Banach spaces with applications to function spaces and composition operators. Sixteen open questions are posed. The reader is assumed to have a good foundation in Lebesgue integration, complex analysis, functional analysis, and Fourier series. Further information can be found at the author's website at http://poincare.matf.bg.ac.rs/~pavlovic.
Author : G. Jameson
Publisher : Springer Science & Business Media
ISBN 13 : 9400956800
Total Pages : 159 pages
Book Rating : 4.4/5 (9 download)
Download or read book A First Course on Complex Functions written by G. Jameson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a rigorous coverage of those topics (and only those topics) that, in the author's judgement, are suitable for inclusion in a first course on Complex Functions. Roughly speaking, these can be summarized as being the things that can be done with Cauchy's integral formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory which is unsurpassed in Mathematics for its cohesion, elegance and wealth of surprises. On the practical side, it includes the computational applications of the residue theorem. Some prominence is given to the latter, because for the more sceptical student they provide the justification for inventing the complex numbers. Analytic continuation and Riemann surfaces form an essentially different chapter of Complex Analysis. A proper treatment is far too sophisticated for a first course, and they are therefore excluded. The aim has been to produce the simplest possible rigorous treatment of the topics discussed. For the programme outlined above, it is quite sufficient to prove Cauchy'S integral theorem for paths in star-shaped open sets, so this is done. No form of the Jordan curve theorem is used anywhere in the book.
Author : Hans Triebel
Publisher : Springer Science & Business Media
ISBN 13 : 9783764326395
Total Pages : 388 pages
Book Rating : 4.3/5 (263 download)
Download or read book Theory of Function Spaces II written by Hans Triebel and published by Springer Science & Business Media. This book was released on 1992-04-02 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH
Author : Hans Triebel
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (91 download)
Download or read book Theory of Function Spaces written by Hans Triebel and published by Springer Science & Business Media. This book was released on 1983 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ilia Binder
Publisher : Springer Nature
ISBN 13 : 3031392701
Total Pages : 487 pages
Book Rating : 4.0/5 (313 download)
Download or read book Function Spaces, Theory and Applications written by Ilia Binder and published by Springer Nature. This book was released on 2024-01-12 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They also have several essential applications in other fields of mathematics and engineering, e.g., robust control engineering, signal and image processing, and theory of communication. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins, e.g. the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b), have also been the center of attention in the past two decades. Studying the Hilbert spaces of analytic functions and the operators acting on them, as well as their applications in other parts of mathematics or engineering were the main subjects of this program. During the program, the world leading experts on function spaces gathered and discussed the new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With more than 250 hours of lectures by prominent mathematicians, a wide variety of topics were covered. More explicitly, there were mini-courses and workshops on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Blaschke Products and Inner Functions, Discrete and Continuous Semigroups of Composition Operators, The Corona Problem, Non-commutative Function Theory, Drury-Arveson Space, and Convergence of Scattering Data and Non-linear Fourier Transform. At the end of each week, there was a high profile colloquium talk on the current topic. The program also contained two semester-long advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. The current volume features a more detailed version of some of the talks presented during the program.
Author : J. van Mill
Publisher : Elsevier
ISBN 13 : 008092977X
Total Pages : 644 pages
Book Rating : 4.0/5 (89 download)
Download or read book The Infinite-Dimensional Topology of Function Spaces written by J. van Mill and published by Elsevier. This book was released on 2002-05-24 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we study function spaces of low Borel complexity.Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theoryare primarily used for the study of these spaces. The mix ofmethods from several disciplines makes the subjectparticularly interesting. Among other things, a complete and self-contained proof of the Dobrowolski-Marciszewski-Mogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented. In order to understand what is going on, a solid background ininfinite-dimensional topology is needed. And for that a fair amount of knowledge of dimension theory as well as ANR theory is needed. The necessary material was partially covered in our previous book `Infinite-dimensional topology, prerequisites and introduction'. A selection of what was done there can be found here as well, but completely revised and at many places expanded with recent results. A `scenic' route has been chosen towards theDobrowolski-Marciszewski-Mogilski Theorem, linking theresults needed for its proof to interesting recent research developments in dimension theory and infinite-dimensional topology. The first five chapters of this book are intended as a text forgraduate courses in topology. For a course in dimension theory, Chapters 2 and 3 and part of Chapter 1 should be covered. For a course in infinite-dimensional topology, Chapters 1, 4 and 5. In Chapter 6, which deals with function spaces, recent research results are discussed. It could also be used for a graduate course in topology but its flavor is more that of a research monograph than of a textbook; it is thereforemore suitable as a text for a research seminar. The bookconsequently has the character of both textbook and a research monograph. In Chapters 1 through 5, unless statedotherwise, all spaces under discussion are separable andmetrizable. In Chapter 6 results for more general classes of spaces are presented. In Appendix A for easy reference and some basic facts that are important in the book have been collected. The book is not intended as a basis for a course in topology; its purpose is to collect knowledge about general topology. The exercises in the book serve three purposes: 1) to test the reader's understanding of the material 2) to supply proofs of statements that are used in the text, but are not proven there3) to provide additional information not covered by the text.Solutions to selected exercises have been included in Appendix B.These exercises are important or difficult.
Author : Nicola Arcozzi
Publisher : American Mathematical Soc.
ISBN 13 : 1470450828
Total Pages : 536 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Dirichlet Space and Related Function Spaces written by Nicola Arcozzi and published by American Mathematical Soc.. This book was released on 2019-09-03 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.
Author : Kehe Zhu
Publisher : American Mathematical Soc.
ISBN 13 : 0821839659
Total Pages : 368 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Theory in Function Spaces written by Kehe Zhu and published by American Mathematical Soc.. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.
Author : Mark Hoffmann
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (539 download)
Download or read book Topics in Complex Analysis and Function Spaces written by Mark Hoffmann and published by . This book was released on 2003 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are three parts of this work. In the first part we give an explicit computation of the Banach envelope for non-locally convex Paley-Wiener type spaces. In the second part we develop more general tools for the treatment of harmonic and analytic functions which take values in a quasi-Banach space. We are able to give a description of boundary value functions for the classes [Special characters omitted.] . Our results extend the well known case of scalar valued functions on the disc and the half plane. The third part is joint work with Nigel Kalton and Tamara Kucherenko. It is shown that R -bounded and weakly compact semigroups on L [subscript 1] and C (K) can only exist for [cursive l] [subscript 1] and c [subscript 0]. More generally, R -bounded weakly compact commuting approximating sequences in Banach spaces are discussed.
Author : Wolfgang Tutschke
Publisher : Springer Science & Business Media
ISBN 13 : 3662099438
Total Pages : 189 pages
Book Rating : 4.6/5 (62 download)
Download or read book Solution of Initial Value Problems in Classes of Generalized Analytic Functions written by Wolfgang Tutschke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the present book is to solve initial value problems in classes of generalized analytic functions as well as to explain the functional-analytic background material in detail. From the point of view of the theory of partial differential equations the book is intend ed to generalize the classicalCauchy-Kovalevskayatheorem, whereas the functional-analytic background connected with the method of successive approximations and the contraction-mapping principle leads to the con cept of so-called scales of Banach spaces: 1. The method of successive approximations allows to solve the initial value problem du CTf = f(t,u), (0. 1) u(O) = u , (0. 2) 0 where u = u(t) ist real o. r vector-valued. It is well-known that this method is also applicable if the function u belongs to a Banach space. A completely new situation arises if the right-hand side f(t,u) of the differential equation (0. 1) depends on a certain derivative Du of the sought function, i. e. , the differential equation (0,1) is replaced by the more general differential equation du dt = f(t,u,Du), (0. 3) There are diff. erential equations of type (0. 3) with smooth right-hand sides not possessing any solution to say nothing about the solvability of the initial value problem (0,3), (0,2), Assume, for instance, that the unknown function denoted by w is complex-valued and depends not only on the real variable t that can be interpreted as time but also on spacelike variables x and y, Then the differential equation (0.
Author : Alina Totoi
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659663925
Total Pages : 212 pages
Book Rating : 4.6/5 (639 download)
Download or read book Integral Operators on Spaces of Complex Functions written by Alina Totoi and published by LAP Lambert Academic Publishing. This book was released on 2014-12-16 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex analysis is one of the classical branches of mathematics and has its roots in the XVIII century. Two important directions of complex analysis are the theory of conformal representations and the geometric theory of analytic functions. Applications and extensions of these theories have been developed in numerous fields, including differential equations, harmonic functions, meromorphic functions, integral operators, Banach spaces and others. This book, pertaining to the geometric function theory, provides several new classes of meromorphic functions, some new integral operators and preserving properties results, regarding the new introduced operators. These new classes are extensions of the well-known starlike, convex and close-to-convex classes. After a review of some basic concepts and standard results, related to the subordination and superordination, sandwich-type results are obtained, using the generalized Briot-Bouquet differential subordinations and superordinations. The book is useful for mathematicians, physicists, engineers, students, researches and other specialists who want to have a good training in the field of geometric function theory.
Author : Luboš Pick
Publisher : Walter de Gruyter
ISBN 13 : 311025042X
Total Pages : 495 pages
Book Rating : 4.1/5 (12 download)
Download or read book Function Spaces, 1 written by Luboš Pick and published by Walter de Gruyter. This book was released on 2012-12-19 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.
Author : Heli Silvennoinen
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (318 download)
Download or read book Meromorphic Solutions of Some Composite Functional Equations written by Heli Silvennoinen and published by . This book was released on 2003 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Clifford Gunning
Publisher : American Mathematical Soc.
ISBN 13 : 0821821652
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Analytic Functions of Several Complex Variables written by Robert Clifford Gunning and published by American Mathematical Soc.. This book was released on 2009 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title intends to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces.
