E-Book, Englisch, Band 226, 278 Seiten
Zhu Spaces of Holomorphic Functions in the Unit Ball
1. Auflage 2006
ISBN: 978-0-387-27539-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 226, 278 Seiten
Reihe: Graduate Texts in Mathematics
ISBN: 978-0-387-27539-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.




