In Douglas et al.(2011)[4] some incisive results are obtained on the structure of the reducing
subspaces for the multiplication operator Mϕ by a finite Blaschke product ϕ on the Bergman …

In this paper, we develop a machinery to study multiplication operators on the Bergman
space via the Hardy space of the bidisk. Using the machinery we study the structure of …

In this paper, using the group-like property of local inverses of a finite Blaschke product ϕ,
we will show that the largest C⁎-algebra in the commutant of the multiplication operator Mϕ …

The aim of this book is mainly to give an account of recent advancements in the study of
multiplication operators on the Bergman space with a new point of view. The main focus will …

Reducing Subspaces of Weighted Shift Operators Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 130, Number 9, Pages 2631-2639 S 0002-9939(02)06382-7 …

In this paper, we study similarity, unitary equivalence and reducing subspace problems of
multiplication operators with symbols of finite Blaschke products on the Bergman space …

In this paper we propose a different (and equivalent) norm on which consists of functions
whose derivatives are in the Hardy space of unit disk. The reproducing kernel of in this norm …

Reducing Subspace of Analytic Toeplitz Operators on the Bergman Space Page 1 Integr. equ.
oper. theory 49 (2004), 387–395 0378-620X/030387-9, DOI 10.1007/s00020-002-1207-7 c© …

REDUCING SUBSPACES FOR TOEPLITZ OPERATORS ON THE POLYDISK 1. Introduction Let
D denote the open unit disk in the complex plane. Page 1 Bull. Korean Math. Soc. 50 (2013) …

Classification of Reducing Subspaces of a Class of Multiplication Operators on the
Bergman Space via the Hardy Space of the Bidi Page 1 Canad. J. Math. Vol. 62 (2), 2010 pp …