Similarity of Operators in the Bergman Space Setting
Functional Analysis
2014-02-26 v1 Classical Analysis and ODEs
Abstract
We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where the geometry of the eigenvector bundles of the operators is used.
Cite
@article{arxiv.1203.4983,
title = {Similarity of Operators in the Bergman Space Setting},
author = {Ronald G. Douglas and Hyun-Kyoung Kwon and Sergei Treil},
journal= {arXiv preprint arXiv:1203.4983},
year = {2014}
}