New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/384593 |
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| _version_ | 1832561021697392640 |
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| author | Baohua Dong Jingshi Xu |
| author_facet | Baohua Dong Jingshi Xu |
| author_sort | Baohua Dong |
| collection | DOAJ |
| description | The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given. |
| format | Article |
| id | doaj-art-7635efe2c8224dacb678907f4dfb33ee |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-7635efe2c8224dacb678907f4dfb33ee2025-02-03T01:26:14ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/384593384593New Herz Type Besov and Triebel-Lizorkin Spaces with Variable ExponentsBaohua Dong0Jingshi Xu1Department of Mathematics, Hainan Normal University, Haikou 571158, ChinaDepartment of Mathematics, Hainan Normal University, Haikou 571158, ChinaThe authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.http://dx.doi.org/10.1155/2012/384593 |
| spellingShingle | Baohua Dong Jingshi Xu New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents Journal of Function Spaces and Applications |
| title | New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents |
| title_full | New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents |
| title_fullStr | New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents |
| title_full_unstemmed | New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents |
| title_short | New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents |
| title_sort | new herz type besov and triebel lizorkin spaces with variable exponents |
| url | http://dx.doi.org/10.1155/2012/384593 |
| work_keys_str_mv | AT baohuadong newherztypebesovandtriebellizorkinspaceswithvariableexponents AT jingshixu newherztypebesovandtriebellizorkinspaceswithvariableexponents |