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A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ibrahim, H.. 2012. A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994190
Modern Language Association (MLA)
Ibrahim, H.. A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class. Journal of Function Spaces No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-994190
American Medical Association (AMA)
Ibrahim, H.. A Generalization of a Logarithmic Sobolev Inequality to the Hölder Class. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994190
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994190