Graduate Texts in Mathematics

Zhu, Kehe

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.

Details

Published by: Springer

Publication Date: 2010-11-10

Format: Paperback

ISBN-13: 9781441919618

DOI: 10.1007/0-387-27539-8

Dimensions: 235cm x155cm

Pages: 274