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.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2011/346768 |
| id |
doaj-1e0092394a02406c9f4d84dab71fc5d5 |
|---|---|
| record_format |
Article |
| spelling |
doaj-1e0092394a02406c9f4d84dab71fc5d52020-11-24T22:35:17ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yasuo Komori-Furuya |
| spellingShingle |
Yasuo Komori-Furuya Fractional integral operators on Herz spaces for supercritical indices Journal of Function Spaces and Applications |
| author_facet |
Yasuo Komori-Furuya |
| author_sort |
Yasuo Komori-Furuya |
| title |
Fractional integral operators on Herz spaces for supercritical indices |
| title_short |
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_sort |
fractional integral operators on herz spaces for supercritical indices |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces and Applications |
| issn |
0972-6802 |
| publishDate |
2011-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2011/346768 |
| work_keys_str_mv |
AT yasuokomorifuruya fractionalintegraloperatorsonherzspacesforsupercriticalindices |
| _version_ |
1725724151552933888 |