Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators
In this paper, dual spaces of large Fock spaces Fϕp with 0<p<∞ are characterized. Also, algebraic properties and equivalent conditions for compactness of weakly localized operators are obtained on Fϕp0<p<∞.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6619459 |
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| _version_ | 1832559778285486080 |
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| author | Youqi Liu Xiaofeng Wang |
| author_facet | Youqi Liu Xiaofeng Wang |
| author_sort | Youqi Liu |
| collection | DOAJ |
| description | In this paper, dual spaces of large Fock spaces Fϕp with 0<p<∞ are characterized. Also, algebraic properties and equivalent conditions for compactness of weakly localized operators are obtained on Fϕp0<p<∞. |
| format | Article |
| id | doaj-art-96f5ad0dc2b04830856d55e86db4dcc7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-96f5ad0dc2b04830856d55e86db4dcc72025-02-03T01:29:19ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66194596619459Duality of Large Fock Spaces in Several Complex Variables and Compact Localization OperatorsYouqi Liu0Xiaofeng Wang1School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, Guangzhou 510006, ChinaSchool of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, Guangzhou 510006, ChinaIn this paper, dual spaces of large Fock spaces Fϕp with 0<p<∞ are characterized. Also, algebraic properties and equivalent conditions for compactness of weakly localized operators are obtained on Fϕp0<p<∞.http://dx.doi.org/10.1155/2021/6619459 |
| spellingShingle | Youqi Liu Xiaofeng Wang Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators Journal of Function Spaces |
| title | Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators |
| title_full | Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators |
| title_fullStr | Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators |
| title_full_unstemmed | Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators |
| title_short | Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators |
| title_sort | duality of large fock spaces in several complex variables and compact localization operators |
| url | http://dx.doi.org/10.1155/2021/6619459 |
| work_keys_str_mv | AT youqiliu dualityoflargefockspacesinseveralcomplexvariablesandcompactlocalizationoperators AT xiaofengwang dualityoflargefockspacesinseveralcomplexvariablesandcompactlocalizationoperators |