Carleson embedding theorem for an exponential Bergman space on the unit ball
Complex Variables
2022-07-29 v1
Abstract
We characterize the Carleson measures for an exponential Bergman space on the unit ball of in terms of the ball induced by the complex Hessian of the logarithm of the weight function. The boundedness (or compactness) of integral operators, Ces\`{a}ro operators and Toeplitz operators, is given using the Carleson measure (or vanishing Carleson measure) characterization.
Keywords
Cite
@article{arxiv.2207.13937,
title = {Carleson embedding theorem for an exponential Bergman space on the unit ball},
author = {Hong Rae Cho and Han-Wool Lee and Soohyun Park},
journal= {arXiv preprint arXiv:2207.13937},
year = {2022}
}