Fractional integral operators on Herz spaces for supercritical indices
We consider the boundedness of fractional integral operators Iβ on Herz spaces Kqα,p(Rn), where q≥n/β. We introduce a new function space that is a variant of Lipschitz space. Our results are optimal.
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2011/346768 |
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| _version_ | 1832549634886598656 |
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| author | Yasuo Komori-Furuya |
| author_facet | Yasuo Komori-Furuya |
| author_sort | Yasuo Komori-Furuya |
| collection | DOAJ |
| description | We consider the boundedness of fractional integral operators Iβ on Herz spaces Kqα,p(Rn), where q≥n/β. We introduce a new function space that is a variant of Lipschitz space. Our results are optimal. |
| format | Article |
| id | doaj-art-1e0092394a02406c9f4d84dab71fc5d5 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-1e0092394a02406c9f4d84dab71fc5d52025-02-03T06:10:51ZengWileyJournal of Function Spaces and Applications0972-68022011-01-019217919010.1155/2011/346768Fractional integral operators on Herz spaces for supercritical indicesYasuo Komori-Furuya0School of High Technology for Human Welfare, Tokai University 317 Nishino Numazu, Shizuoka 410-0395, JapanWe consider the boundedness of fractional integral operators Iβ on Herz spaces Kqα,p(Rn), where q≥n/β. We introduce a new function space that is a variant of Lipschitz space. Our results are optimal.http://dx.doi.org/10.1155/2011/346768 |
| spellingShingle | Yasuo Komori-Furuya Fractional integral operators on Herz spaces for supercritical indices Journal of Function Spaces and Applications |
| title | Fractional integral operators on Herz spaces for supercritical indices |
| title_full | Fractional integral operators on Herz spaces for supercritical indices |
| title_fullStr | Fractional integral operators on Herz spaces for supercritical indices |
| title_full_unstemmed | Fractional integral operators on Herz spaces for supercritical indices |
| title_short | Fractional integral operators on Herz spaces for supercritical indices |
| title_sort | fractional integral operators on herz spaces for supercritical indices |
| url | http://dx.doi.org/10.1155/2011/346768 |
| work_keys_str_mv | AT yasuokomorifuruya fractionalintegraloperatorsonherzspacesforsupercriticalindices |