Sg. Bobkov et F. Gotze, Exponential integrability and transportation cost related to logarithmic sobolev inequalities, J FUNCT ANA, 163(1), 1999, pp. 1-28
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.