A LOGARITHMIC SOBOLEV INEQUALITY ON THE REAL LINE

Authors
PEARSON JM
Citation
Jm. Pearson, A LOGARITHMIC SOBOLEV INEQUALITY ON THE REAL LINE, Proceedings of the American Mathematical Society, 125(11), 1997, pp. 3339-3345
Citations number
13
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
11
Year of publication
1997
Pages
3339 - 3345
Database
ISI
SICI code
0002-9939(1997)125:11<3339:ALSIOT>2.0.ZU;2-9
Abstract
A new logarithmic Sobolev inequality for the real line is obtained. Th e inequality is obtained by applying a differentiation argument to a s harp Sobolev inequality due to Nagy, and is L-p rather that L-2 in str ucture.