Preliminaries.- Bergman Spaces.- The Bloch Space.- Hardy Spaces.- Functions of Bounded Mean Oscillation.- Besov Spaces.- Lipschitz Spaces.
From the reviews:
This book discusses the most well-known and widely used spaces of holomorphic functions in the unit ball & The book can be read comfortably by anyone familiar with single variable complex analysis & the proofs are originally constructed and considerably simpler than the existing ones in the literature & The book is essentially self contained & (Eleonara A. Storozhenko, Zentralblatt MATH, 1067, 2005)
This is a very good book for graduate students of mathematics and mathematicians. & it is very interesting and contains much of the research done in recent years in the area of holomorphic spaces. It is certainly very useful to all who want to learn about and do research in this field young and old. It could also constitute the basic material for a graduate course or seminar. (Mihaela Poplicher, MathDL, September, 2005)
In recent years there has been a considerably growing interest in properties of spaces of holomorphic functions & . The book under review concerns the case of the unit ball in Cn. & This monograph addresses graduate students and expert mathematicians as well. & The book is well written, clear in its exposition and has an exhaustive bibliography. & This book is going to become a standard reference for mathematicians and students working on this subject. (Marco M. Peloso, Mathematical Reviews, Issue 2006 d)
The book is concerned with the basic properties of the most well-known and widely used spaces in holomorphic functions in the open unit ball Bn of Cn. The restriction to the unit ball of Cn allows the author to present direct proofs of most of the results by straightforward formulas. & The book is well wlã+
![Spaces of Holomorphic Functions in the Unit Ball [Hardcover]](/itemImage/2/0/8/2/2_923689.jpg "Spaces of Holomorphic Functions in the Unit Ball [Hardcover]")