Multiplication operators defined by a class of polynomials on L_a^2(D^2)
Operator Algebras
2014-04-23 v1
Abstract
In this paper, we consider those multiplication operators M_p on the Bergman space L_a^2(D^2) over the bidisk, defined by a class of polynomials p. Also, this paper consider the reducing subspaces of M_p, the von Neumann algebra W^*(p) generated by M_p, and its commutant V^*(p)=W^*(p)'. The structure of V^*(p) is completely determined, along with those reducing subspaces of M_p.
Cite
@article{arxiv.1404.5414,
title = {Multiplication operators defined by a class of polynomials on L_a^2(D^2)},
author = {Hui Dan and Hansong Huang},
journal= {arXiv preprint arXiv:1404.5414},
year = {2014}
}
Comments
26pages