TY  - GEN
AU  - Guo,Kunyu
AU  - Huang,Hansong
TI  - Multiplication operators on the Bergman space
T2  - Lecture notes in mathematics ; 
SN  - 9783662468449
U1  - 515.724 23
PY  - 2015///
CY  - Berlin
PB  - Springer-Verlag
KW  - Operator theory.
KW  - Functional analysis.
KW  - Bergman spaces.
N1  - Includes bibliographical references and index; 1. Introduction --
2. Some preliminaries --
3. Cowen-Thomson's theorem --
4. Reducing subspaces associated eith finite Blaschke products --
5. Reducing subspaces associated with thin Blaschke products --
6. Covering maps and von Neumann algebras --
7.  Similarity and unitary equivalence --
8. Algebraic structure and reducing subspaces --
A. Berezin transform --
B. Nordgren's results on reducing subspaces --
C. List of problems --
Bibliography --
Index
N2  - This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. The book reviews past developments and offers insights into cutting-edge developments in the study of multiplication operators. It also provides commentary and comparisons to stimulate research in this area.
ER  -