Positive Toeplitz operators on Large Bergman spaces in the unit disk
Functional Analysis
2014-11-05 v3 Complex Variables
Abstract
We study positive Toeplitz operators on the Bergman spaces having the fast decreasing weight functions in a certain class. We give the characterizations for the boundedness and compactness of Toeplitz operators in terms of their Berezin transforms and averaging functions. In particular, we show the equivalent conditions in order that Toeplitz operators on belong to the Schatten class , .
Cite
@article{arxiv.1410.8258,
title = {Positive Toeplitz operators on Large Bergman spaces in the unit disk},
author = {Inyoung Park},
journal= {arXiv preprint arXiv:1410.8258},
year = {2014}
}
Comments
The paper has been withdraw since now the results are included in arXiv:1411.0625 where a more general study is done