Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂn
We present maximal and area integral characterizations of Bergman spaces in the unit ball of ℂn. The characterizations are in terms of maximal functions and area integral functions on Bergman balls involving the radial derivative, the complex gradient, and the invariant gradient. As an application,...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/167514 |
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| _version_ | 1832558560662257664 |
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| author | Zeqian Chen Wei Ouyang |
| author_facet | Zeqian Chen Wei Ouyang |
| author_sort | Zeqian Chen |
| collection | DOAJ |
| description | We present maximal and area integral characterizations of Bergman spaces in the unit ball of ℂn. The characterizations are in terms of maximal functions and area integral functions on Bergman balls involving the radial derivative, the complex gradient, and the invariant gradient. As an application, we obtain new maximal and area integral characterizations of Besov spaces. Moreover, we give an atomic decomposition of real-variable type with respect to Carleson tubes for Bergman spaces. |
| format | Article |
| id | doaj-art-ee1516eebaf840d780126306f37ea872 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ee1516eebaf840d780126306f37ea8722025-02-03T01:32:06ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/167514167514Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂnZeqian Chen0Wei Ouyang1Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, ChinaWuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, Wuhan 430071, ChinaWe present maximal and area integral characterizations of Bergman spaces in the unit ball of ℂn. The characterizations are in terms of maximal functions and area integral functions on Bergman balls involving the radial derivative, the complex gradient, and the invariant gradient. As an application, we obtain new maximal and area integral characterizations of Besov spaces. Moreover, we give an atomic decomposition of real-variable type with respect to Carleson tubes for Bergman spaces.http://dx.doi.org/10.1155/2013/167514 |
| spellingShingle | Zeqian Chen Wei Ouyang Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂn Journal of Function Spaces and Applications |
| title | Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂn |
| title_full | Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂn |
| title_fullStr | Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂn |
| title_full_unstemmed | Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂn |
| title_short | Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ℂn |
| title_sort | maximal and area integral characterizations of bergman spaces in the unit ball of cn |
| url | http://dx.doi.org/10.1155/2013/167514 |
| work_keys_str_mv | AT zeqianchen maximalandareaintegralcharacterizationsofbergmanspacesintheunitballofcn AT weiouyang maximalandareaintegralcharacterizationsofbergmanspacesintheunitballofcn |