| 书目名称 | Spaces of Holomorphic Functions in the Unit Ball |
| 编辑 | Kehe Zhu |
| 视频video | |
| 概述 | Only book to discuss spaces of holomorphic functions in the unit ball |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .There has been a flurry of activity in recent years in the loosely defined area of holomorphic spaces. This book discusses the most well-known and widely used spaces of holomorphic functions in the unit ball of C^n. 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 ones 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...The unit ball was chosen as the setting since most results can be achieved there using straightforward formulas without much fuss. The book can be read comfortably by anyone familiar with single variable complex analysis; no prerequisite on several complex variables is required. The author has included exercises at the end of each chapter that vary greatly in the level of difficulty...Kehe Zhu is Professor of Mathematics at State University of New York at Albany. His previous books include Operator Theory in Function Spaces (Marcel Dekk |
| 出版日期 | Textbook 2005 |
| 关键词 | Complex analysis; bounded mean oscillation; holomorphic function; integral |
| 版次 | 1 |
| doi | https://doi.org/10.1007/0-387-27539-8 |
| isbn_softcover | 978-1-4419-1961-8 |
| isbn_ebook | 978-0-387-27539-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2005 |
发表于 2025-3-21 17:11:27
