Compact differences of composition operators on large weighted Bergman spaces
Functional Analysis
2019-09-23 v2
Abstract
While there have been extensive studies regarding the theory of composition operators in standard Bergman spaces, there have not been many results pertaining to large Bergman spaces due to a lack of useful tools. In this paper, we give the characterizations of the compact differences of composition operators in Bergman spaces with the exponential type weight using a newly defined Riemannian distance. Furthermore, we give a sufficient condition for the question when two composition operators lie in the same component.
Cite
@article{arxiv.1908.11530,
title = {Compact differences of composition operators on large weighted Bergman spaces},
author = {Inyoung Park},
journal= {arXiv preprint arXiv:1908.11530},
year = {2019}
}
Comments
This paper is the corrected version of the published paper