Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols

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.

Bibliografski detalji
Glavni autori: Zhi-Ling Sun, Wei-Shih Du, Feng Qi
Format: Članak
Jezik:English
Izdano: MDPI AG 2024-02-01
Serija:Mathematics
Teme:
Online pristup:https://www.mdpi.com/2227-7390/12/4/565
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author Zhi-Ling Sun
Wei-Shih Du
Feng Qi
author_facet Zhi-Ling Sun
Wei-Shih Du
Feng Qi
author_sort Zhi-Ling Sun
collection DOAJ
description 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.
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spelling doaj.art-1c685559715e4ba1a54426478190f5162024-02-23T15:26:10ZengMDPI AGMathematics2227-73902024-02-0112456510.3390/math12040565Toeplitz Operators on Harmonic Fock Spaces with Radial SymbolsZhi-Ling Sun0Wei-Shih Du1Feng Qi2College of Mathematical Sciences, Inner Mongolia Minzu University, Tongliao 028043, ChinaDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, TaiwanSchool of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, ChinaThe 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.https://www.mdpi.com/2227-7390/12/4/565Toeplitz operatorsharmonic Fock spaceradial symbolweighted pluriharmonic Bergman spaceWick symbol
spellingShingle Zhi-Ling Sun
Wei-Shih Du
Feng Qi
Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
Mathematics
Toeplitz operators
harmonic Fock space
radial symbol
weighted pluriharmonic Bergman space
Wick symbol
title Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
title_full Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
title_fullStr Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
title_full_unstemmed Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
title_short Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
title_sort toeplitz operators on harmonic fock spaces with radial symbols
topic Toeplitz operators
harmonic Fock space
radial symbol
weighted pluriharmonic Bergman space
Wick symbol
url https://www.mdpi.com/2227-7390/12/4/565
work_keys_str_mv AT zhilingsun toeplitzoperatorsonharmonicfockspaceswithradialsymbols
AT weishihdu toeplitzoperatorsonharmonicfockspaceswithradialsymbols
AT fengqi toeplitzoperatorsonharmonicfockspaceswithradialsymbols