English

From Sobolev Inequality to Doubling

Analysis of PDEs 2014-06-10 v2

Abstract

In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.

Keywords

Cite

@article{arxiv.1312.0277,
  title  = {From Sobolev Inequality to Doubling},
  author = {Lyudmila Korobenko and Diego Maldonado and Cristian Rios},
  journal= {arXiv preprint arXiv:1312.0277},
  year   = {2014}
}
R2 v1 2026-06-22T02:18:30.031Z