Bobkov, S. G.; Götze, F. Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. (English) Zbl 0924.46027 J. Funct. Anal. 163, No. 1, 1-28 (1999). Authors’ summary: 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. Reviewer: H.Triebel (Jena) Cited in 4 ReviewsCited in 238 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:exponential integrability; concentration of measure; transportation cost; logarithmic Sobolev inequalities PDFBibTeX XMLCite \textit{S. G. Bobkov} and \textit{F. Götze}, J. Funct. 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