Spaces of Holomorphic Functions in the Unit Ball
Kehe ZhuThe 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.
카테고리:
년:
2005
판:
1. A.
출판사:
Springer
언어:
english
페이지:
280
ISBN 10:
0387220364
ISBN 13:
9780387220369
시리즈:
Graduate texts in mathematics 226
파일:
PDF, 2.12 MB
IPFS:
,
english, 2005
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