Embedding of Besov Spaces and the Volterra Integral Operator
The boundedness and compactness of the inclusion mapping from Besov spaces to tent spaces are studied in this paper. Meanwhile, the boundedness, compactness, and essential norm of the Volterra integral operator Tg from Besov spaces to a class of general function spaces are also investigated.
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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 Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5554748 |
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| _version_ | 1832546804597522432 |
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| author | Dan Qu Xiangling Zhu Ruishen Qian |
| author_facet | Dan Qu Xiangling Zhu Ruishen Qian |
| author_sort | Dan Qu |
| collection | DOAJ |
| description | The boundedness and compactness of the inclusion mapping from Besov spaces to tent spaces are studied in this paper. Meanwhile, the boundedness, compactness, and essential norm of the Volterra integral operator Tg from Besov spaces to a class of general function spaces are also investigated. |
| format | Article |
| id | doaj-art-5840b4821f0741529db2ba92dbef0700 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5840b4821f0741529db2ba92dbef07002025-02-03T06:47:03ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55547485554748Embedding of Besov Spaces and the Volterra Integral OperatorDan Qu0Xiangling Zhu1Ruishen Qian2Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, Macau, ChinaUniversity of Electronic Science and Technology of China, Zhongshan Institute, Zhongshan 528402, Guangdong, ChinaSchool of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, Guangdong, ChinaThe boundedness and compactness of the inclusion mapping from Besov spaces to tent spaces are studied in this paper. Meanwhile, the boundedness, compactness, and essential norm of the Volterra integral operator Tg from Besov spaces to a class of general function spaces are also investigated.http://dx.doi.org/10.1155/2021/5554748 |
| spellingShingle | Dan Qu Xiangling Zhu Ruishen Qian Embedding of Besov Spaces and the Volterra Integral Operator Journal of Mathematics |
| title | Embedding of Besov Spaces and the Volterra Integral Operator |
| title_full | Embedding of Besov Spaces and the Volterra Integral Operator |
| title_fullStr | Embedding of Besov Spaces and the Volterra Integral Operator |
| title_full_unstemmed | Embedding of Besov Spaces and the Volterra Integral Operator |
| title_short | Embedding of Besov Spaces and the Volterra Integral Operator |
| title_sort | embedding of besov spaces and the volterra integral operator |
| url | http://dx.doi.org/10.1155/2021/5554748 |
| work_keys_str_mv | AT danqu embeddingofbesovspacesandthevolterraintegraloperator AT xianglingzhu embeddingofbesovspacesandthevolterraintegraloperator AT ruishenqian embeddingofbesovspacesandthevolterraintegraloperator |