Weighted Central BMO Spaces and Their Applications
In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces...
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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/10.1155/2021/5285962 |
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| _version_ | 1832556644106502144 |
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| author | Huan Zhao Zongguang Liu |
| author_facet | Huan Zhao Zongguang Liu |
| author_sort | Huan Zhao |
| collection | DOAJ |
| description | In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces is also considered. |
| format | Article |
| id | doaj-art-e428f05ebf454818952282478d7dc05a |
| 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-e428f05ebf454818952282478d7dc05a2025-02-03T05:44:50ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/52859625285962Weighted Central BMO Spaces and Their ApplicationsHuan Zhao0Zongguang Liu1Department of Mathematics, China University of Mining and Technology, Beijing 100083, ChinaDepartment of Mathematics, China University of Mining and Technology, Beijing 100083, ChinaIn this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces is also considered.http://dx.doi.org/10.1155/2021/5285962 |
| spellingShingle | Huan Zhao Zongguang Liu Weighted Central BMO Spaces and Their Applications Journal of Function Spaces |
| title | Weighted Central BMO Spaces and Their Applications |
| title_full | Weighted Central BMO Spaces and Their Applications |
| title_fullStr | Weighted Central BMO Spaces and Their Applications |
| title_full_unstemmed | Weighted Central BMO Spaces and Their Applications |
| title_short | Weighted Central BMO Spaces and Their Applications |
| title_sort | weighted central bmo spaces and their applications |
| url | http://dx.doi.org/10.1155/2021/5285962 |
| work_keys_str_mv | AT huanzhao weightedcentralbmospacesandtheirapplications AT zongguangliu weightedcentralbmospacesandtheirapplications |