Operator Theory in Function Spaces

This book PDF is perfect for those who love Function spaces genre, written by Kehe Zhu and published by American Mathematical Soc. which was released on 06 May 2024 with total hardcover pages 368. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Operator Theory in Function Spaces books below.

Operator Theory in Function Spaces
Operator Theory in Function Spaces
Author : Kehe Zhu
File Size : 43,5 Mb
Publisher : American Mathematical Soc.
Language : English
Release Date : 06 May 2024
ISBN : 9780821839652
Pages : 368 pages
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Operator Theory in Function Spaces by Kehe Zhu Book PDF Summary

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.

Operator Theory in Function Spaces

Operator Theory in Function Spaces by Kehe Zhu

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

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Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The

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