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Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

Journal of Functional Analysis (1999) 163(1) 1-28
DOI: 10.1006/jfan.1998.3326
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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.

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Bobkov, S. G., & Götze, F. (1999). Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities. Journal of Functional Analysis, 163(1), 1–28. https://doi.org/10.1006/jfan.1998.3326

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