Toeplitz operators on weighted harmonic Bergman spaces

Zipeng Wang; Xianfeng Zhao

doi:10.1215/17358787-2017-0049

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Home > Journals > Banach J. Math. Anal. > Volume 12 > Issue 4 > Article

October 2018 Toeplitz operators on weighted harmonic Bergman spaces

Zipeng Wang, Xianfeng Zhao

Banach J. Math. Anal. 12(4): 808-842 (October 2018). DOI: 10.1215/17358787-2017-0049

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Abstract

In this article, we study Toeplitz operators with nonnegative symbols on the $\mathcal{A}_{2}$ -weighted harmonic Bergman space. We characterize the boundedness, compactness, and invertibility of Toeplitz operators with nonnegative symbols on this space.

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Zipeng Wang. Xianfeng Zhao. "Toeplitz operators on weighted harmonic Bergman spaces." Banach J. Math. Anal. 12 (4) 808 - 842, October 2018. https://doi.org/10.1215/17358787-2017-0049

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Received: 1 November 2016; Accepted: 1 March 2017; Published: October 2018

First available in Project Euclid: 8 November 2017

zbMATH: 06946293

MathSciNet: MR3858751

Digital Object Identifier: 10.1215/17358787-2017-0049

Subjects:

Primary: 47B35

Secondary: 47B65

Keywords: boundedness , compactness , invertibility , Toeplitz operator , weighted harmonic Bergman space

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Zipeng Wang, Xianfeng Zhao "Toeplitz operators on weighted harmonic Bergman spaces," Banach Journal of Mathematical Analysis, Banach J. Math. Anal. 12(4), 808-842, (October 2018)

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