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Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols

Zhi-Ling Sun, Wei-Shih Du () and Feng Qi ()
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Zhi-Ling Sun: College of Mathematical Sciences, Inner Mongolia Minzu University, Tongliao 028043, China
Wei-Shih Du: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
Feng Qi: School of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, China

Mathematics, 2024, vol. 12, issue 4, 1-12

Abstract: The main aim of this paper is to study new features and specific properties of the Toeplitz operator with radial symbols in harmonic Fock spaces. A new spectral decomposition of a Toeplitz operator with Wick symbols is also established.

Keywords: Toeplitz operators; harmonic Fock space; radial symbol; weighted pluriharmonic Bergman space; Wick symbol (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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