Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains
Complex Variables
2021-04-27 v1 Classical Analysis and ODEs
Abstract
In this paper, we study the behavior of the weighted composition operators acting on Bergman spaces defined on strictly pseudoconvex domains via the sparse domination technique from harmonic analysis. As a byproduct, we also prove a weighted type estimate for the weighted composition operators which is adapted to Sawyer-testing conditions. Our results extend the work by the first author, Li, Shi and Wick under a much more general setting.
Keywords
Cite
@article{arxiv.2104.12011,
title = {Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains},
author = {Bingyang Hu and Zhenghui Huo},
journal= {arXiv preprint arXiv:2104.12011},
year = {2021}
}
Comments
26 pages, 2 figures. Based on the framework developed in arXiv:1910.01995, arXiv:2001.07868 and 2012.13810