Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent
We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early. Then we characterize these spaces by the boundedness of the local Hardy-Littlewood maximal operator on variable exponent Lebesgue space. Finall...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/417341 |
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| _version_ | 1832556592261758976 |
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| author | Baohua Dong Jingshi Xu |
| author_facet | Baohua Dong Jingshi Xu |
| author_sort | Baohua Dong |
| collection | DOAJ |
| description | We introduce new Besov and Triebel-Lizorkin spaces with variable
integrable exponent, which are different from those introduced by the second author early.
Then we characterize these spaces by the boundedness of the local Hardy-Littlewood
maximal operator on variable exponent Lebesgue space. Finally the completeness and
the lifting property of these spaces are also given. |
| format | Article |
| id | doaj-art-0ecc32a286b644e6a71b27cfd2d8b821 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0ecc32a286b644e6a71b27cfd2d8b8212025-02-03T05:44:48ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/417341417341Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable ExponentBaohua Dong0Jingshi Xu1Department of Mathematics, Hainan Normal University, Haikou 571158, ChinaDepartment of Mathematics, Hainan Normal University, Haikou 571158, ChinaWe introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early. Then we characterize these spaces by the boundedness of the local Hardy-Littlewood maximal operator on variable exponent Lebesgue space. Finally the completeness and the lifting property of these spaces are also given.http://dx.doi.org/10.1155/2014/417341 |
| spellingShingle | Baohua Dong Jingshi Xu Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent Journal of Function Spaces |
| title | Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent |
| title_full | Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent |
| title_fullStr | Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent |
| title_full_unstemmed | Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent |
| title_short | Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent |
| title_sort | local characterizations of besov and triebel lizorkin spaces with variable exponent |
| url | http://dx.doi.org/10.1155/2014/417341 |
| work_keys_str_mv | AT baohuadong localcharacterizationsofbesovandtriebellizorkinspaceswithvariableexponent AT jingshixu localcharacterizationsofbesovandtriebellizorkinspaceswithvariableexponent |