Multiplication operators on the Bergman spaces of pseudoconvex domains

Abstract

Given an n-tuple of multiplication operators on the Bergman space of a bounded pseudoconvex domain in C^n, we study the algebra of their commutants. In particular, we give a geometric description of the maximal C*-subalgebra of this algebra.

17 pages, revised version, all comments welcome

References in corpus (1)

• The commutants of certain Toeplitz operators on weighted Bergman spaces

Cited by in corpus (3)

• Multiplication operators on the Bergman space of bounded domains in C^d
• Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in ${\mathbb{C}}^n$
• A tuple of multiplication operators defined by twisted holomorphic proper maps