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...
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| Main Author: | |
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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/10.1155/2012/148706 |
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| Summary: | 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. |
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| ISSN: | 0972-6802 1758-4965 |