Accessibility navigation


Toeplitz operators on the unit ball with locally integrable symbols

Hagger, R., Liu, C., Taskinen, J. and Virtanen, J. A. (2022) Toeplitz operators on the unit ball with locally integrable symbols. Integral Equations and Operator Theory, 94 (2). 17. ISSN 1420-8989

[img]
Preview
Text (Open Access) - Published Version
· Available under License Creative Commons Attribution.
· Please see our End User Agreement before downloading.

439kB
[img] Text - Accepted Version
· Restricted to Repository staff only

348kB

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item DOI: 10.1007/s00020-022-02695-3

Abstract/Summary

We study the boundedness of Toeplitz operators Tψ with locally integrable symbols on weighted harmonic Bergman spaces over the unit ball of R n. Generalizing earlier results for analytic function spaces, we derive a general sufficient condition for the boundedness of Tψ in terms of suitable averages of its symbol. We also obtain a similar “vanishing” condition for compactness. Finally, we show how these results can be transferred to the setting of the standard weighted Bergman spaces of analytic functions.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:96053
Publisher:Springer

Downloads

Downloads per month over past year

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation