Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591949 | Journal of Functional Analysis | 2009 | 30 Pages |
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