Operator Theory in Function Spaces
By:Kehe Zhu
Published on 2007 by American Mathematical Soc.
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.
This Book was ranked at 8 by Google Books for keyword oscillating theory.
Book ID of Operator Theory in Function Spaces's Books is P2vzBwAAQBAJ, Book which was written byKehe Zhuhave ETAG "eCYdg7inwUI"
Book which was published by American Mathematical Soc. since 2007 have ISBNs, ISBN 13 Code is 9780821839652 and ISBN 10 Code is 0821839659
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