Isoperimetry and symmetrization for logarithmic Sobolev inequalities

Details Isoperimetry and symmetrization for logarithmic Sobolev inequalities Isoperimetry and symmetrization for logarithmic Sobolev inequalities

2008-05-30

arxiv.org/abs/0806.0021v2

Journal of Functional Analysis (2008)

Mathematics

Functional Analysis

Only change: replaced Isometry by Isoperimetry in html page. the file is the same

Scientific paper

10.1016/j.jfa.2008.09.001

Using isoperimetry and symmetrization we provide a unified framework to study
the classical and logarithmic Sobolev inequalities. In particular, we obtain
new Gaussian symmetrization inequalities and connect them with logarithmic
Sobolev inequalities. Our methods are very general and can be easily adapted to
more general contexts.

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