## Exponential integrability and transportation cost related to logarithmic Sobolev inequalities (1999)

by
S. G. Bobkov
,
F. Gotze

Venue: | J. Funct. Anal |

Citations: | 80 - 4 self |

### BibTeX

@ARTICLE{Bobkov99exponentialintegrability,

author = {S. G. Bobkov and F. Gotze},

title = {Exponential integrability and transportation cost related to logarithmic Sobolev inequalities},

journal = {J. Funct. Anal},

year = {1999},

pages = {1--28}

}

### Years of Citing Articles

### OpenURL

### Abstract

We study some problems on exponential integrability, concentration of measure, and transportation cost related to logarithmic Sobolev inequalities. On the real line, we then give a characterization of those probability measures which satisfy these inequalities 1999 Academic Press Key Words: logarithmic Sobolev inequalities; exponential integrability; concentration of measure; transportation inequalities.