Spaces of Holomorphic Functions in the Unit Ball
Kehe Zhu
ISBN 10: 1441919619 ISBN 13: 9781441919618
Published by Springer, 2010
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Spaces of Holomorphic Functions in the Unit Ball | Kehe Zhu | Taschenbuch | x | Englisch | 2010 | Springer | EAN 9781441919618 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 107220606
Synopsis:
The book presents a modern theory of holomorphic function spaces in the open unit ball. Spaces discussed include the Bergman spaces, the Hardy spaces, the Bloch space, BMOA, the Dirichlet space, the Besov spaces, and the Lipschitz spaces. Most proofs in the book are new and simpler than the existing proofs in the literature. The central idea in almost all these proofs is based on integral representations of holomorphic functions and elementary properties of the Bergman kernel, the Bergman metric, and the automorphism group.
About the Author:
Kehe Zhu is Professor of Mathematics at State University of New York at Albany. His previous books include Operator Theory in Function Spaces (Marcel Dekker 1990), Theory of Bergman Spaces, with H. Hedenmalm and B. Korenblum (Springer 2000), and An Introduction to Operator Algebras (CRC Press 1993).
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Title: Spaces of Holomorphic Functions in the Unit ...
Publisher: Springer
Publication Date: 2010
Binding: Taschenbuch
Condition: Neu
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Only book to discuss spaces of holomorphic functions in the unit ballCan be used as a graduate textContains many exercisesContains new results|The book presents a modern theory of holomorphic function spaces in the open unit ball. Seller Inventory # 4172521
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Spaces of Holomorphic Functions in the Unit Ball
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Springer New York Nov 2010, 2010
ISBN 10: 1441919619
ISBN 13: 9781441919618
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Can be used as a graduate textContains many exercisesContains new results 284 pp. Englisch. Seller Inventory # 9781441919618
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Spaces of Holomorphic Functions in the Unit Ball
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Springer New York, Springer US Nov 2010, 2010
ISBN 10: 1441919619
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Can be used as a graduate textContains many exercisesContains new resultsSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 284 pp. Englisch. Seller Inventory # 9781441919618
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Spaces of Holomorphic Functions in the Unit Ball
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Springer New York, Springer US, 2010
ISBN 10: 1441919619
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - There has been a flurry of activity in recent years in the loosely defined area of holomorphic spaces. This book discusses the most well-known and widely used spaces of holomorphic functions in the unit ball of C^n. Spaces discussed include the Bergman spaces, the Hardy spaces, the Bloch space, BMOA, the Dirichlet space, the Besov spaces, and the Lipschitz spaces. Most proofs in the book are new and simpler than the existing ones in the literature. The central idea in almost all these proofs is based on integral representations of holomorphic functions and elementary properties of the Bergman kernel, the Bergman metric, and the automorphism group.The unit ball was chosen as the setting since most results can be achieved there using straightforward formulas without much fuss. The book can be read comfortably by anyone familiar with single variable complex analysis; no prerequisite on several complex variables is required. The author has included exercises at the end of each chapter that vary greatly in the level of difficulty.Kehe Zhu is Professor of Mathematics at State University of New York at Albany. His previous books include Operator Theory in Function Spaces (Marcel Dekker 1990), Theory of Bergman Spaces, with H. Hedenmalm and B. Korenblum (Springer 2000), and An Introduction to Operator Algebras (CRC Press 1993). Seller Inventory # 9781441919618
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Spaces of Holomorphic Functions in the Unit Ball
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ISBN 10: 1441919619
ISBN 13: 9781441919618
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