Characterizations of a Class of Dirichlet-Type Spaces and Related Operators
In this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space Dμ. The multipliers of Dμ and Hankel-type operators from Dμ to L2PμdA are also investigated.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6631047 |
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| _version_ | 1832567486588911616 |
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| author | Xiaosong Liu Songxiao Li |
| author_facet | Xiaosong Liu Songxiao Li |
| author_sort | Xiaosong Liu |
| collection | DOAJ |
| description | In this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space Dμ. The multipliers of Dμ and Hankel-type operators from Dμ to L2PμdA are also investigated. |
| format | Article |
| id | doaj-art-ee97486d80bc4ad594a6b994a9989f72 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ee97486d80bc4ad594a6b994a9989f722025-02-03T01:01:24ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66310476631047Characterizations of a Class of Dirichlet-Type Spaces and Related OperatorsXiaosong Liu0Songxiao Li1Department of Mathematics, Shantou University, Shantou 515063, Guangdong, ChinaInstitute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, Sichuan, ChinaIn this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space Dμ. The multipliers of Dμ and Hankel-type operators from Dμ to L2PμdA are also investigated.http://dx.doi.org/10.1155/2020/6631047 |
| spellingShingle | Xiaosong Liu Songxiao Li Characterizations of a Class of Dirichlet-Type Spaces and Related Operators Journal of Mathematics |
| title | Characterizations of a Class of Dirichlet-Type Spaces and Related Operators |
| title_full | Characterizations of a Class of Dirichlet-Type Spaces and Related Operators |
| title_fullStr | Characterizations of a Class of Dirichlet-Type Spaces and Related Operators |
| title_full_unstemmed | Characterizations of a Class of Dirichlet-Type Spaces and Related Operators |
| title_short | Characterizations of a Class of Dirichlet-Type Spaces and Related Operators |
| title_sort | characterizations of a class of dirichlet type spaces and related operators |
| url | http://dx.doi.org/10.1155/2020/6631047 |
| work_keys_str_mv | AT xiaosongliu characterizationsofaclassofdirichlettypespacesandrelatedoperators AT songxiaoli characterizationsofaclassofdirichlettypespacesandrelatedoperators |