arXiv Analytics

Sign in

arXiv:1012.2816 [math.FA]AbstractReferencesReviewsResources

Toeplitz operators on Bergman spaces of polyanalytic functions

Zeljko Cuckovic, Trieu Le

Published 2010-12-13Version 1

We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols. We also raise and discuss some open questions.

Comments: 15 pages
Categories: math.FA, math.CV
Related articles: Most relevant | Search more
arXiv:2106.11734 [math.FA] (Published 2021-06-22)
Weak BMO and Toeplitz operators on Bergman spaces
arXiv:2011.08322 [math.FA] (Published 2020-11-16)
$p$-Summable commutators in Bergman spaces on egg domains
arXiv:1104.3960 [math.FA] (Published 2011-04-20, updated 2011-04-25)
Real-variable characterizations of Bergman spaces

Links

Toolbox