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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.
Set theory Автор: Kenneth Kunen Год: 1983 |
Introduction to topology Автор: V. A. Vassiliev Год: 2001 |
Proofs from THE BOOK Автор: Martin Aigner, Günter M. Ziegler, Karl H. Hofmann Год: 2003 |
Proofs from THE BOOK Автор: Martin Aigner, Günter M. Ziegler, Karl H. Hofmann Год: 2009 |
Revolutions of Geometry Автор: Michael O?Leary Год: 2010 |
Learning to Reason Автор: Nancy Rodgers Год: 2000 |