Article ID Journal Published Year Pages File Type
4591949 Journal of Functional Analysis 2009 30 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory