Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces

In this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs  symbols f acting between two generalized Fock spaces Fφp, where 1<s≤∞. We characterize bounded or compact Toeplitz operators Tf from one generalized Fock space Fφp to another Fφq, respectively, in four c...

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Main Authors: Yiyuan Zhang, Guangfu Cao, Li He
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/8044854
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author Yiyuan Zhang
Guangfu Cao
Li He
author_facet Yiyuan Zhang
Guangfu Cao
Li He
author_sort Yiyuan Zhang
collection DOAJ
description In this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs  symbols f acting between two generalized Fock spaces Fφp, where 1<s≤∞. We characterize bounded or compact Toeplitz operators Tf from one generalized Fock space Fφp to another Fφq, respectively, in four cases.
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institution Kabale University
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language English
publishDate 2021-01-01
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series Journal of Function Spaces
spelling doaj-art-7206a8a597fa4437b49a4d5c685feb842025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/80448548044854Toeplitz Operators with IMOs Symbols between Generalized Fock SpacesYiyuan Zhang0Guangfu Cao1Li He2School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaIn this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs  symbols f acting between two generalized Fock spaces Fφp, where 1<s≤∞. We characterize bounded or compact Toeplitz operators Tf from one generalized Fock space Fφp to another Fφq, respectively, in four cases.http://dx.doi.org/10.1155/2021/8044854
spellingShingle Yiyuan Zhang
Guangfu Cao
Li He
Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
Journal of Function Spaces
title Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
title_full Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
title_fullStr Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
title_full_unstemmed Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
title_short Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces
title_sort toeplitz operators with imos symbols between generalized fock spaces
url http://dx.doi.org/10.1155/2021/8044854
work_keys_str_mv AT yiyuanzhang toeplitzoperatorswithimossymbolsbetweengeneralizedfockspaces
AT guangfucao toeplitzoperatorswithimossymbolsbetweengeneralizedfockspaces
AT lihe toeplitzoperatorswithimossymbolsbetweengeneralizedfockspaces