Berezin transform of Toeplitz operators on Bergman space with Bekolle and Bonami weights
Complex Variables
2026-01-08 v2 Functional Analysis
Abstract
In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We completely characterized every case of the bounded and compact Toeplitz operators on the weighted Bergman spaces with B\'{e}koll\'{e}-Bonami weights in terms of Berezin transforms.
Keywords
Cite
@article{arxiv.2512.09885,
title = {Berezin transform of Toeplitz operators on Bergman space with Bekolle and Bonami weights},
author = {Hicham Arroussi and Zhan Zhang},
journal= {arXiv preprint arXiv:2512.09885},
year = {2026}
}