Function Spaces And Inequalities

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Function Spaces and Inequalities

Author : Pankaj Jain
Publisher : Springer
ISBN 13 : 981106119X
Total Pages : 334 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Function Spaces and Inequalities by : Pankaj Jain

Download or read book Function Spaces and Inequalities written by Pankaj Jain and published by Springer. This book was released on 2017-10-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.

Function Spaces and Potential Theory

Author : David R. Adams
Publisher : Springer Science & Business Media
ISBN 13 : 3662032821
Total Pages : 372 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Function Spaces and Potential Theory by : David R. Adams

Download or read book Function Spaces and Potential Theory written by David R. Adams and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

Spectral Theory, Function Spaces and Inequalities

Author : B. Malcolm Brown
Publisher : Springer Science & Business Media
ISBN 13 : 3034802633
Total Pages : 269 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Spectral Theory, Function Spaces and Inequalities by : B. Malcolm Brown

Download or read book Spectral Theory, Function Spaces and Inequalities written by B. Malcolm Brown and published by Springer Science & Business Media. This book was released on 2011-11-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates and spectral theory of elliptic operators, pseudo differential operators with discontinuous symbols, variable exponent spaces and entropy numbers. These papers contribute to areas of analysis which have been and continue to be heavily influenced by the leading British analysts David Edmunds and Des Evans. This book marks their respective 80th and 70th birthdays.

Around the Research of Vladimir Maz'ya I

Author : Ari Laptev
Publisher : Springer Science & Business Media
ISBN 13 : 1441913416
Total Pages : 414 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Around the Research of Vladimir Maz'ya I by : Ari Laptev

Download or read book Around the Research of Vladimir Maz'ya I written by Ari Laptev and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often play a key role in the study of different aspects of the theory, which is demonstrated, in particular, by presented new results and reviews from world-recognized specialists. Sobolev type spaces, extensions, capacities, Sobolev inequalities, pseudo-Poincare inequalities, optimal Hardy-Sobolev-Maz'ya inequalities, Maz'ya's isocapacitary inequalities in a measure-metric space setting and many other actual topics are discussed.

Function Spaces, 1

Author : Luboš Pick
Publisher : Walter de Gruyter
ISBN 13 : 311025042X
Total Pages : 495 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Function Spaces, 1 by : Luboš Pick

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.

The Structure of Functions

Author : Hans Triebel
Publisher : Birkhäuser
ISBN 13 : 3034882572
Total Pages : 435 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Structure of Functions by : Hans Triebel

Download or read book The Structure of Functions written by Hans Triebel and published by Birkhäuser. This book was released on 2012-12-06 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book "Fractals and Spectra" (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.

Numerical Methods and Inequalities in Function Spaces

Author : V. N. Faddeeva
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Methods and Inequalities in Function Spaces by : V. N. Faddeeva

Download or read book Numerical Methods and Inequalities in Function Spaces written by V. N. Faddeeva and published by . This book was released on 1968 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

Author : Michael Ulbrich
Publisher : SIAM
ISBN 13 : 1611970687
Total Pages : 315 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces by : Michael Ulbrich

Download or read book Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces written by Michael Ulbrich and published by SIAM. This book was released on 2011-07-28 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.

Theory of Function Spaces III

Author : Hans Triebel
Publisher : Springer Science & Business Media
ISBN 13 : 3764375825
Total Pages : 433 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Theory of Function Spaces III by : Hans Triebel

Download or read book Theory of Function Spaces III written by Hans Triebel and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the recent theory of function spaces, paying special attention to some recent developments related to neighboring areas such as numerics, signal processing, and fractal analysis. Local building blocks, in particular (non-smooth) atoms, quarks, wavelet bases and wavelet frames are considered in detail and applied to diverse problems, including a local smoothness theory, spaces on Lipschitz domains, and fractal analysis.

Integral Operators in Non-Standard Function Spaces

Author : Vakhtang Kokilashvili
Publisher : Birkhäuser
ISBN 13 : 3319210157
Total Pages : 585 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Integral Operators in Non-Standard Function Spaces by : Vakhtang Kokilashvili

Download or read book Integral Operators in Non-Standard Function Spaces written by Vakhtang Kokilashvili and published by Birkhäuser. This book was released on 2016-05-11 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.

Theory of Function Spaces

Author : Hans Triebel
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Theory of Function Spaces by : Hans Triebel

Download or read book Theory of Function Spaces written by Hans Triebel and published by Birkhäuser. This book was released on 1983-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn

Functional Inequalities: New Perspectives and New Applications

Author : Nassif Ghoussoub
Publisher : American Mathematical Soc.
ISBN 13 : 0821891529
Total Pages : 331 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Functional Inequalities: New Perspectives and New Applications by : Nassif Ghoussoub

Download or read book Functional Inequalities: New Perspectives and New Applications written by Nassif Ghoussoub and published by American Mathematical Soc.. This book was released on 2013-04-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book describes how functional inequalities are often manifestations of natural mathematical structures and physical phenomena, and how a few general principles validate large classes of analytic/geometric inequalities, old and new. This point of view leads to "systematic" approaches for proving the most basic inequalities, but also for improving them, and for devising new ones--sometimes at will and often on demand. These general principles also offer novel ways for estimating best constants and for deciding whether these are attained in appropriate function spaces. As such, improvements of Hardy and Hardy-Rellich type inequalities involving radially symmetric weights are variational manifestations of Sturm's theory on the oscillatory behavior of certain ordinary differential equations. On the other hand, most geometric inequalities, including those of Sobolev and Log-Sobolev type, are simply expressions of the convexity of certain free energy functionals along the geodesics on the Wasserstein manifold of probability measures equipped with the optimal mass transport metric. Caffarelli-Kohn-Nirenberg and Hardy-Rellich-Sobolev type inequalities are then obtained by interpolating the above two classes of inequalities via the classical ones of Hölder. The subtle Moser-Onofri-Aubin inequalities on the two-dimensional sphere are connected to Liouville type theorems for planar mean field equations."--Publisher's website.

Inequalities: A Journey into Linear Analysis

Author : D. J. H. Garling
Publisher : Cambridge University Press
ISBN 13 : 1139465147
Total Pages : 347 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Inequalities: A Journey into Linear Analysis by : D. J. H. Garling

Download or read book Inequalities: A Journey into Linear Analysis written by D. J. H. Garling and published by Cambridge University Press. This book was released on 2007-07-05 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are used to obtain properties of function spaces, linear operators between them, and of special classes of operators such as absolutely summing operators. This textbook complements and fills out standard treatments, providing many diverse applications: for example, the Lebesgue decomposition theorem and the Lebesgue density theorem, the Hilbert transform and other singular integral operators, the martingale convergence theorem, eigenvalue distributions, Lidskii's trace formula, Mercer's theorem and Littlewood's 4/3 theorem. It will broaden the knowledge of postgraduate and research students, and should also appeal to their teachers, and all who work in linear analysis.

Function Spaces and Inequalities

Author :
Publisher :
ISBN 13 : 9788073782337
Total Pages : pages
Book Rating : 4.7/5 (823 download)

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Book Synopsis Function Spaces and Inequalities by :

Download or read book Function Spaces and Inequalities written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Equations and Inequalities

Author : Themistocles RASSIAS
Publisher : Springer Science & Business Media
ISBN 13 : 9401143412
Total Pages : 335 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Functional Equations and Inequalities by : Themistocles RASSIAS

Download or read book Functional Equations and Inequalities written by Themistocles RASSIAS and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution of zeros and inequalities for zeros of algebraic polynomials, a qualitative study of Lobachevsky's complex functional equation, functional inequalities in special classes of functions, replicativity and function spaces, normal distributions, some difference equations, finite sums, decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problems of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszú's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising. Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus.

Theory of Function Spaces II

Author : Hans Triebel
Publisher : Springer Science & Business Media
ISBN 13 : 9783764326395
Total Pages : 388 pages
Book Rating : 4.3/5 (263 download)

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Book Synopsis Theory of Function Spaces II by : Hans Triebel

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

Functional Equations And Inequalities In Several Variables

Author : Stefan Czerwik
Publisher : World Scientific
ISBN 13 : 9814489506
Total Pages : 421 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Functional Equations And Inequalities In Several Variables by : Stefan Czerwik

Download or read book Functional Equations And Inequalities In Several Variables written by Stefan Czerwik and published by World Scientific. This book was released on 2002-05-14 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam-Hyers-Rassias and in some function spaces are considered. In the last part, the functional equations in set-valued functions are dealt with — for the first time in the mathematical literature. The book contains many fresh results concerning those problems.