Spaces of Holomorphic Functions in the Unit Ball

Kehe Zhu - Collection Graduate Texts in Mathematics

272 pages, parution le 02/08/2005

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Résumé

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.

L'auteur - Kehe Zhu

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).

Sommaire

Preliminaries
Bergman Spaces
The Bloch Space
Hardy Spaces
Functions of Bounded Mean Oscillation
Besov Spaces
Lipschitz Spaces
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Kehe Zhu
Collection	Graduate Texts in Mathematics
Parution	02/08/2005
Nb. de pages	272
Format	16 x 24
Couverture	Relié
Poids	523g
Intérieur	Noir et Blanc
EAN13	9780387220369
ISBN13	978-0-387-22036-9