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Science/Engineering Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics)

Posted on 2010-03-16




Name:Science/Engineering Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics)
ASIN/ISBN:0387220364
Language:English
File size:2.3 Mb
Publisher: Springer
ISBN: 0387220364
Publish Date: edition 2005
Pages: 268 pages
File Size: 2,3 mb
Other Info: DJVU
   Science/Engineering Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics)

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Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics)

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.

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