ON THE LOGARITHMIC SOBOLEV INEQUALITY

Authors
TOSCANI G
Citation
G. Toscani, ON THE LOGARITHMIC SOBOLEV INEQUALITY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(6), 1997, pp. 689-694
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
324
Issue
6
Year of publication
1997
Pages
689 - 694
Database
ISI
SICI code
0764-4442(1997)324:6<689:OTLSI>2.0.ZU;2-#
Abstract
We prove a strenghtened form of Gross's logarithmic Sobolev inequality (see [1]) with a ''remainder term'' added to the left-hand side. We u se this result to determine the cases of equality on R-n equipped with Lebesgue measure.