On compactness of Toeplitz operators in Bergman spaces

Download

[thumbnail of On compactness of Toeplitz operators in Bergman spaces_Taskinen_Virtanen.pdf]

Text - Accepted Version
· Restricted to Repository staff only
· The Copyright of this document has not been checked yet. This may affect its availability.

Restricted to Repository staff only

Advice

Please see our End User Agreement.

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

Tools

Lists

Taskinen, J. and Virtanen, J. (2018) On compactness of Toeplitz operators in Bergman spaces. Functiones et Approximatio Commentarii Mathematici, 59 (2). pp. 305-318. ISSN 0208-6573 doi: 10.7169/facm/1727

Abstract/Summary

In this paper we consider Toepliz operators with (locally) integrable symbols acting on Bergman spaces Ap (1<p<∞) of the open unit disc of the complex plane. We give a characterization of compact Toeplitz operators with symbols in L1 under a mild additional condition. Our result is new even in the Hilbert space setting of A2, where it extends the well-known characterization of compact Toeplitz operators with bounded symbols by Stroethoff and Zheng.

Altmetric Badge

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/80771
Identification Number/DOI	10.7169/facm/1727
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Faculty of Mathematics and Computer Science, Adam Mickiewicz University
Download/View statistics	View download statistics for this item

Funded Project

Funders:	Engineering and Physical Sciences Research Council	The sponsoring bodies who contributed funding for the creation of this item. Example: NERC Example: The Royal Society of Chemistry A pick list of funders may appear as you type in the funder's name in full or as an acronym. Select a correct match to complete the field or type in a new entry in full. For new entries, the full name is preferred.
Projects:	Riemann-Hilbert problems, infinite matrices and their applications Funded by: Engineering and Physical Sciences Research Council (EP/M024784/1 - £98,560) Project Lead: Jani A. Virtanen Local Lead (PI): Jani Virtanen 1 June 2015 - 31 May 2017	Click Add to select your project (received at Reading) from an autocomplete list.

Deposit Details

Date Deposited:	23 Nov 2018 15:41	Date item deposited into CentAUR
Last Modified:	09 Jun 2024 04:59	Date item last modified

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

Search Google Scholar