Toeplitz operators on generalized harmonic Bergman spaces

Trieu Le

Toeplitz operators on generalized harmonic Bergman spaces

Functional Analysis 2010-04-07 v1 Operator Algebras

Authors: Trieu Le

Abstract

We study Toeplitz operators with uniformly continuous symbols on generalized harmonic Bergman spaces of the unit ball in $\mathbb{R}^n$ . We describe their essential spectra and establish a short exact sequence associated with the $C^{*}$ -algebra generated by these operators.

Keywords

toeplitz operators truncated toeplitz operators numerical range

Cite

@article{arxiv.1004.0860,
  title  = {Toeplitz operators on generalized harmonic Bergman spaces},
  author = {Trieu Le},
  journal= {arXiv preprint arXiv:1004.0860},
  year   = {2010}
}

Comments

14 pages

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