English

Hyponormal Toeplitz Operators on Weighted Bergman Space

Functional Analysis 2020-01-23 v1 Classical Analysis and ODEs

Abstract

We consider the Toeplitz operator with symbol z^n+C|z|^s acting on certain weighted Bergman spaces and determine for what values of the constant C this operator is hyponormal. The condition is presented in terms of the norm of an explicit block Jacobi matrix.

Keywords

Cite

@article{arxiv.2001.07823,
  title  = {Hyponormal Toeplitz Operators on Weighted Bergman Space},
  author = {Brian Simanek},
  journal= {arXiv preprint arXiv:2001.07823},
  year   = {2020}
}

Comments

Submitted to 2019 OPSFA Proceedings volume

R2 v1 2026-06-23T13:17:12.407Z