English

Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces

Functional Analysis 2010-10-19 v5

Abstract

We characterize Poincar\'{e} inequalities in metric spaces using rearrangement inequalities

Keywords

Cite

@article{arxiv.1005.5673,
  title  = {Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces},
  author = {Joaquim Martin and Mario Milman},
  journal= {arXiv preprint arXiv:1005.5673},
  year   = {2010}
}