Spaces of Holomorphic Functions in the Unit Ball 2005 Edition Contributor(s): Zhu, Kehe (Author) |
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ISBN: 0387220364 ISBN-13: 9780387220369 Publisher: Springer OUR PRICE: $80.74 Product Type: Hardcover - Other Formats Published: February 2005 Annotation: 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. |
Additional Information |
BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis |
Dewey: 515.98 |
LCCN: 2004049191 |
Series: Graduate Texts in Mathematics |
Physical Information: 0.73" H x 6.38" W x 9.58" (1.20 lbs) 271 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Can be used as a graduate text Contains many exercises Contains new results |