English

Isoperimetry and symmetrization for logarithmic Sobolev inequalities

Functional Analysis 2008-10-02 v2 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.0806.0021,
  title  = {Isoperimetry and symmetrization for logarithmic Sobolev inequalities},
  author = {Joaquim Martin and Mario Milman},
  journal= {arXiv preprint arXiv:0806.0021},
  year   = {2008}
}

Comments

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