Spaces of Holomorphic Functions in the Unit Ball

Kehe Zhu

ISBN 10: 1441919619 / ISBN 13: 9781441919618

Published by Springer New York Nov 2010, 2010

About this Item

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

Bibliographic Details

• Title: Spaces of Holomorphic Functions in the Unit Ball
• Publisher: Springer New York Nov 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 1441919619
• ISBN 13: 9781441919618
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 435 grams

About this title

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).