Vanishing Carleson measures and power compact weighted composition operators
Complex Variables
2022-12-12 v1
Abstract
In this paper, we characterize Carleson measure and vanishing Carleson measure on Bergman spaces with admissible weights in terms of {\it t-Berezin transform} and {\it averaging function} as key tools. Moreover, power bounded and power compact weighted composition operators are characterized as application of Carleson measure and vanishing Carleson measure respectively on Bergman spaces with admissible weights.
Cite
@article{arxiv.2212.04906,
title = {Vanishing Carleson measures and power compact weighted composition operators},
author = {Aakriti Sharma and Ajay K. Sharma and M. Mursaleen},
journal= {arXiv preprint arXiv:2212.04906},
year = {2022}
}