Exponential integrability and transportation cost related to logarithmic sobolev inequalities

Authors
Bobkov, SG Gotze, F
Citation
Sg. Bobkov et F. Gotze, Exponential integrability and transportation cost related to logarithmic sobolev inequalities, J FUNCT ANA, 163(1), 1999, pp. 1-28
Citations number
32
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
163
Issue
1
Year of publication
1999
Pages
1 - 28
Database
ISI
SICI code
0022-1236(19990401)163:1<1:EIATCR>2.0.ZU;2-T
Abstract
We study some problems on exponential integrability, concentration of measu re, and transportation cost related to logarithmic Sobolev inequalities. On the real line, we then give a characterization of those probability measur es which satisfy these inequalities (C) 1999 Academic Press.