English

Hardy-Littlewood-Sobolev and related inequalities: stability

Analysis of PDEs 2022-05-17 v3 Functional Analysis

Abstract

The purpose of this text is twofold. We present a review of the existing stability results for Sobolev, Hardy-Littlewood-Sobolev (HLS) and related inequalities. We also contribute to the topic with some observations on constructive stability estimates for (HLS).

Keywords

Cite

@article{arxiv.2202.02972,
  title  = {Hardy-Littlewood-Sobolev and related inequalities: stability},
  author = {Jean Dolbeault and Maria J. Esteban},
  journal= {arXiv preprint arXiv:2202.02972},
  year   = {2022}
}