Czechoslovak Mathematical Journal

Czechoslovak Mathematical Journal, first online, pp. 1-14

Commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space

Jie Qin, Youqi Liu

Received September 23, 2024. Published online January 21, 2025.

Abstract: We make a progress towards describing the commuting Toeplitz operators with harmonic symbols on the Fock-Sobolev space. For the certain symbol space, we obtain two Toeplitz operators with harmonic symbols commuting only in the obvious cases, which is different from the known result in the Fock space.

Keywords: commuting Toeplitz operator; Berezin transform; Fock-Sobolev space

Classification MSC: 47B35

DOI: 10.21136/CMJ.2025.0398-24

PDF available at: Springer Institute of Mathematics CAS

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Affiliations: Jie Qin, Youqi Liu (corresponding author), School of Mathematics and Statistics, Chongqing Technology and Business University, No.19, Xuefu Ave, Nanan District, Chongqing, 400067, P. R. China, e-mail: qinjie24520@163.com, yqliu2021@163.com

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