Trace class Toeplitz operators with singular symbols
Functional Analysis
2019-12-13 v1
Abstract
We characterize the trace class membership of Toeplitz operators with distributional symbols acting on the Bergman space on the unit disk. The Berezin transform of distributions, introduced in the paper, yields a formula for the trace. Several instructive examples are also given.
Keywords
Cite
@article{arxiv.1912.05855,
title = {Trace class Toeplitz operators with singular symbols},
author = {Grigori Rozenblum and Nikolai Vasilevski},
journal= {arXiv preprint arXiv:1912.05855},
year = {2019}
}