Semi-commuting Toeplitz Operators on Fock-Sobolev spaces

DOI10.1016/J.BULSCI.2022.103156arXiv2103.15465WikidataQ114202559 ScholiaQ114202559MaRDI QIDQ6363985

Jie Qin

Publication date: 29 March 2021

Abstract: Let $F^{2,m}(mathbbC)$ denote the Fock-Sobolev space of complex plane. In this paper, we characterize the semi-commutator of two Toeplitz operators on $F^{2,m}(mathbbC)$ is zero. The result is different from the result of Bauer, Choe, and Koo. (J. Funct. Anal., 268 (2015): 3017-3060.)

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

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