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

Fuente: arXiv
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Autores principales: Musina, Roberta, Nazarov, Alexander I.
Formato: Preprint
Publicado: 2024
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author Musina, Roberta
Nazarov, Alexander I.
author_facet Musina, Roberta
Nazarov, Alexander I.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_08585
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hardy type inequalities with mixed cylindrical-spherical weights: the general case
Musina, Roberta
Nazarov, Alexander I.
Analysis of PDEs
35A15, 46E35, 35A23, 26D10
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.
title Hardy type inequalities with mixed cylindrical-spherical weights: the general case
topic Analysis of PDEs
35A15, 46E35, 35A23, 26D10
url https://arxiv.org/abs/2411.08585