A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class
In a recent work of the author, a parabolic extension of the elliptic Ogawa type inequality has been established. This inequality is originated from the Brézis-Gallouët-Wainger logarithmic type inequalities revealing Sobolev embeddings in the critical case. In this paper, we improve the parabolic v...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/148706 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545366531112960 |
|---|---|
| author | H. Ibrahim |
| author_facet | H. Ibrahim |
| author_sort | H. Ibrahim |
| collection | DOAJ |
| description | In a recent work of the author, a parabolic extension of the elliptic Ogawa type inequality has been established.
This inequality is originated from the Brézis-Gallouët-Wainger logarithmic type inequalities revealing Sobolev
embeddings in the critical case. In this paper, we improve the parabolic version of Ogawa inequality by allowing
it to cover not only the class of functions from Sobolev spaces, but also the wider class of Hölder continuous functions. |
| format | Article |
| id | doaj-art-508ad553ff4743bba68153cf2b12f276 |
| 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-508ad553ff4743bba68153cf2b12f2762025-02-03T07:26:04ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/148706148706A Generalization of a Logarithmic Sobolev Inequality to the Hölder ClassH. Ibrahim0Mathematics Department, School of Arts and Sciences, Lebanese International University (LIU), Beirut Campus, Al-Mouseitbeh, P.O. Box 14-6404, Beirut, LebanonIn a recent work of the author, a parabolic extension of the elliptic Ogawa type inequality has been established. This inequality is originated from the Brézis-Gallouët-Wainger logarithmic type inequalities revealing Sobolev embeddings in the critical case. In this paper, we improve the parabolic version of Ogawa inequality by allowing it to cover not only the class of functions from Sobolev spaces, but also the wider class of Hölder continuous functions.http://dx.doi.org/10.1155/2012/148706 |
| spellingShingle | H. Ibrahim A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class Journal of Function Spaces and Applications |
| title | A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class |
| title_full | A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class |
| title_fullStr | A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class |
| title_full_unstemmed | A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class |
| title_short | A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class |
| title_sort | generalization of a logarithmic sobolev inequality to the holder class |
| url | http://dx.doi.org/10.1155/2012/148706 |
| work_keys_str_mv | AT hibrahim ageneralizationofalogarithmicsobolevinequalitytotheholderclass AT hibrahim generalizationofalogarithmicsobolevinequalitytotheholderclass |