Open Access
April 2019 Bounded Toeplitz operators on Bergman space
Fugang Yan, Dechao Zheng
Banach J. Math. Anal. 13(2): 386-406 (April 2019). DOI: 10.1215/17358787-2018-0043

Abstract

In this paper, we obtain a sufficient condition for Toeplitz operators with locally integrable symbols to be bounded and compact on the Bergman space Lap with 1<p< in terms of generalized Carleson squares.

Citation

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Fugang Yan. Dechao Zheng. "Bounded Toeplitz operators on Bergman space." Banach J. Math. Anal. 13 (2) 386 - 406, April 2019. https://doi.org/10.1215/17358787-2018-0043

Information

Received: 21 June 2018; Accepted: 29 November 2018; Published: April 2019
First available in Project Euclid: 21 January 2019

zbMATH: 07045464
MathSciNet: MR3927879
Digital Object Identifier: 10.1215/17358787-2018-0043

Subjects:
Primary: 47B35
Secondary: ‎32A36‎

Keywords: Bergman space , Carleson square , Toeplitz operators

Rights: Copyright © 2019 Tusi Mathematical Research Group

Vol.13 • No. 2 • April 2019
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