Multiplication operators on the Bergman spaces of pseudoconvex domains
Functional Analysis
2016-07-05 v3 Operator Algebras
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.
Keywords
Cite
@article{arxiv.1310.3554,
title = {Multiplication operators on the Bergman spaces of pseudoconvex domains},
author = {Akaki Tikaradze},
journal= {arXiv preprint arXiv:1310.3554},
year = {2016}
}
Comments
17 pages, revised version, all comments welcome