Spaces of Holomorphic Functions in the Unit Ball

• Main Author: Zhu, Kehe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Series: Graduate Texts in Mathematics, 226
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functions of complex variables.; Several Complex Variables and Analytic Spaces.; Analysis.

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...

Table of Contents:

• Preliminaries
• Bergman Spaces
• The Bloch Space
• Hardy Spaces
• Functions of Bounded Mean Oscillation
• Besov Spaces
• Lipschitz Spaces.