English

Hardy type inequalities with mixed cylindrical-spherical weights: the general case

Analysis of PDEs 2024-11-14 v1

Abstract

We continue our investigation of Hardy-type inequalities involving combinations of cylindrical and spherical weights. Compared to [Cora-Musina-Nazarov, Ann. Sc. Norm. Sup., 2024], where the quasi-spherical case was considered, we handle the full range of allowed parameters. This has led to the observation of new phenomena related to lack of compactness.

Keywords

Cite

@article{arxiv.2411.08585,
  title  = {Hardy type inequalities with mixed cylindrical-spherical weights: the general case},
  author = {Roberta Musina and Alexander I. Nazarov},
  journal= {arXiv preprint arXiv:2411.08585},
  year   = {2024}
}

Comments

30 pages

R2 v1 2026-06-28T19:58:18.940Z