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Weighted Composition Operators On Lorentz Spaces
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Book Synopsis Weighted Composition Operators on Lorentz Spaces by : Shangting Huang
Download or read book Weighted Composition Operators on Lorentz Spaces written by Shangting Huang and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Weighted Composition Operators on Lorentz Spaces" by Shangting, Huang, 黃尚廷, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b4129094 Subjects: Composition operators Lorentz spaces
Book Synopsis Weighted Composition Operators on Lorentz Spaces by : Shangting Huang
Download or read book Weighted Composition Operators on Lorentz Spaces written by Shangting Huang and published by . This book was released on 2008 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Unbounded Weighted Composition Operators in L2-Spaces by : Piotr Budzyński
Download or read book Unbounded Weighted Composition Operators in L2-Spaces written by Piotr Budzyński and published by Springer. This book was released on 2018-05-28 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L2-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized. The first-ever criteria for subnormality of unbounded weighted composition operators are provided and the subtle interplay between the classical moment problem, graph theory and the injectivity problem for weighted composition operators is revealed. The relationships between weighted composition operators and the corresponding multiplication and composition operators are investigated. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types. The book is primarily aimed at researchers in single or multivariable operator theory.
Book Synopsis Classical and Multidimensional Lorentz Spaces by : René Erlin Castillo
Download or read book Classical and Multidimensional Lorentz Spaces written by René Erlin Castillo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-09-07 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is solely dedicated to the study of both the one variable as well as the multidimensional Lorentz spaces covering the theory of Lebesgue type spaces invariant by rearrangement. The authors provide proofs in full detail for most theorems. The self-contained text is valuable for advanced students and researchers.
Book Synopsis Composition Operators on Function Spaces by : R.K. Singh
Download or read book Composition Operators on Function Spaces written by R.K. Singh and published by Elsevier. This book was released on 1993-11-03 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the Mathematics Studies presents work done on composition operators during the last 25 years. Composition operators form a simple but interesting class of operators having interactions with different branches of mathematics and mathematical physics. After an introduction, the book deals with these operators on Lp-spaces. This study is useful in measurable dynamics, ergodic theory, classical mechanics and Markov process. The composition operators on functional Banach spaces (including Hardy spaces) are studied in chapter III. This chapter makes contact with the theory of analytic functions of complex variables. Chapter IV presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. In the last chapter of the book some applications of composition operators in isometries, ergodic theory and dynamical systems are presented. An interesting interplay of algebra, topology, and analysis is displayed. This comprehensive and up-to-date study of composition operators on different function spaces should appeal to research workers in functional analysis and operator theory, post-graduate students of mathematics and statistics, as well as to physicists and engineers.
Book Synopsis Studies on Composition Operators by : Rocky Mountain Mathematics Consortium
Download or read book Studies on Composition Operators written by Rocky Mountain Mathematics Consortium and published by American Mathematical Soc.. This book was released on 1998 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects the proceedings of the 1996 Rocky Mountain Mathematics Consortium conference on "Composition Operators on Spaces of Analytic Functions" held at the University of Wyoming. The readers will find here a collection of high-quality research and expository articles on composition operators in one and several variables. The book highlights open questions and new advances in the classical areas and promotes topics which are left largely untreated in the existing texts. In the past two decades, the study of composition operators has experienced tremendous growth. Many connections between the study of these operators on various function spaces and other branches of analysis have been established. Advances in establishing criteria for membership in different operator classes have led to progress in the study of the spectra, adjoints, and iterates of these operators. More recently, connections between these operators and the study of the invariant subspace problem, functional equations, and dynamical systems have been exploited.
Book Synopsis Composition Operators on Spaces of Analytic Functions by : Carl C. Cowen, Jr.
Download or read book Composition Operators on Spaces of Analytic Functions written by Carl C. Cowen, Jr. and published by Routledge. This book was released on 2019-03-04 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
Book Synopsis WEIGHTED COMPOSITION OPERATORS by : 盧靜安
Download or read book WEIGHTED COMPOSITION OPERATORS written by 盧靜安 and published by Open Dissertation Press. This book was released on 2017-01-27 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Weighted Composition Operators Between Lp-spaces" by 盧靜安, Ching-on, Lo, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled WEIGHTED COMPOSITION OPERATORS BETWEEN L -SPACES submitted by LO Ching-on for the degree of Master of Philosophy at The University of Hong Kong in October 2002 Let (X,Σ,μ) and (Y,Γ,ν) be two σ-finite and complete measure spaces. For a Γ-measurable function u: Y → C and a non-singular measurable transformation ϕ Y → X, a linear map uC from L (μ) (1 consisting of (equivalence classes of) Γ-measurable functions on Y was defined by uC (f)(y): =u(y)f(ϕ(y)) for any f ∈L (μ) and y∈Y. Thismapisknownasaweightedcompositionoperator. Wewereinterestedinprop- erties of such class of operators between L -spaces. Weighted composition operators appear in various contexts in the literature. However, there are relatively few results about these operators from L (μ) into L (ν), when p and q are distinct. The boundedness, closedness of ranges and com- pactness of these operators for 1 When the L -spaces are weighted sequence spaces, the invertibility of uC and ϕ arerelatedanditwasprovedthattheinverseofuC isaweightedcompositionmap. The case that either p = ∞ or q = ∞ was considered. In particular, it was shown that when (X,Σ,μ) is non-atomic, the only compact weighted composition map between L -spaces is the zero operator. The spectrum of a compact weighted composition operator on L (μ) was also determined. DOI: 10.5353/th_b3014774 Subjects: Composition operators Lp spaces
Book Synopsis Composition Operators by : Joel H. Shapiro
Download or read book Composition Operators written by Joel H. Shapiro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integra tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this.
Book Synopsis Compact Weighted Composition Operators on Function Spaces by : Hiroyuki Takagi
Download or read book Compact Weighted Composition Operators on Function Spaces written by Hiroyuki Takagi and published by . This book was released on 1992 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Operator-weighted Composition Operators on Vector-valued Analytic Function Spaces by : Jussi Laitila
Download or read book Operator-weighted Composition Operators on Vector-valued Analytic Function Spaces written by Jussi Laitila and published by . This book was released on 2008 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Weighted Composition Operators on Analytic Function Spaces by : Xiangling Zhu
Download or read book Generalized Weighted Composition Operators on Analytic Function Spaces written by Xiangling Zhu and published by . This book was released on 2017-05-18 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hardy Operators, Function Spaces and Embeddings by : David E. Edmunds
Download or read book Hardy Operators, Function Spaces and Embeddings written by David E. Edmunds and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries. The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains. This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.
Book Synopsis Compact Composition Operators on Weighted Hardy and Bergman Spaces by : Elhadi Dalam
Download or read book Compact Composition Operators on Weighted Hardy and Bergman Spaces written by Elhadi Dalam and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last ten years, the theory of Hardy and Bergman Spaces has undergone a remarkable metamorphosis. The research originated from a study of weighted Hardy and Bergman Spaces that revolve around the composition operators and inequalities is to present the latest development, mostly achieved in the thesis form. In particular, gradute students and new researchers in the field will have access to the theory from an almost self contained and readable source. We study the action of composition operators on Sobolev Spaces of analytic functions in some weighted Bergman and Hardy Spaces on the unit disc. composition operators mapping into the Hardy Space are included by making particular choices for the weights. In the thesis we will explain some of the important results of compact composition operators on weighted Hardy and Bergman Spaces.
Book Synopsis Weighted Composition Operators on Holomorphic L2-Spaces by :
Download or read book Weighted Composition Operators on Holomorphic L2-Spaces written by and published by . This book was released on 2012 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundedness of Fractional Maximal Operators Between Classical and Weak-type Lorentz Spaces by : David Eric Edmunds
Download or read book Boundedness of Fractional Maximal Operators Between Classical and Weak-type Lorentz Spaces written by David Eric Edmunds and published by . This book was released on 2002 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Weighted Composition Operators on Weighted Hardy and Bergman Spaces by : Waleed Khaled Al-Rawashdeh
Download or read book Weighted Composition Operators on Weighted Hardy and Bergman Spaces written by Waleed Khaled Al-Rawashdeh and published by . This book was released on 2010 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
