A note on fractional integral operators on Herz spaces with variable exponent
Abstract In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and log-Hölder continuous at infinity....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-015-0949-0 |
| _version_ | 1811266150719291392 |
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| author | Meng Qu Jie Wang |
| author_facet | Meng Qu Jie Wang |
| author_sort | Meng Qu |
| collection | DOAJ |
| description | Abstract In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and log-Hölder continuous at infinity. |
| first_indexed | 2024-04-12T20:38:05Z |
| format | Article |
| id | doaj.art-30bb52e975264e5a861ab72097b0ca7f |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-12T20:38:05Z |
| publishDate | 2016-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-30bb52e975264e5a861ab72097b0ca7f2022-12-22T03:17:31ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-01-012016111110.1186/s13660-015-0949-0A note on fractional integral operators on Herz spaces with variable exponentMeng Qu0Jie Wang1School of Mathematical and Computer Sciences, Anhui Normal UniversitySchool of Mathematical and Computer Sciences, Anhui Normal UniversityAbstract In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and log-Hölder continuous at infinity.http://link.springer.com/article/10.1186/s13660-015-0949-0Herz spacesLipschitz spacesfractional integralvariable exponent |
| spellingShingle | Meng Qu Jie Wang A note on fractional integral operators on Herz spaces with variable exponent Journal of Inequalities and Applications Herz spaces Lipschitz spaces fractional integral variable exponent |
| title | A note on fractional integral operators on Herz spaces with variable exponent |
| title_full | A note on fractional integral operators on Herz spaces with variable exponent |
| title_fullStr | A note on fractional integral operators on Herz spaces with variable exponent |
| title_full_unstemmed | A note on fractional integral operators on Herz spaces with variable exponent |
| title_short | A note on fractional integral operators on Herz spaces with variable exponent |
| title_sort | note on fractional integral operators on herz spaces with variable exponent |
| topic | Herz spaces Lipschitz spaces fractional integral variable exponent |
| url | http://link.springer.com/article/10.1186/s13660-015-0949-0 |
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