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

We continue our investigation of Hardy-type inequalities involving combinations of cylindrical and spherical weights. Compared to [Cora--Musina--Nazarov, Ann. Sc. Norm. Sup. Pisa, 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.

Authors

Publication Details

Journal
Differential and Integral Equations
Published
2025-08-27
DOI
https://doi.org/10.57262/die038-1112-715
Citations
1
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
3.73
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article

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

Alexander I. Nazarov, Musina Musina
1 citations
Differential and Integral Equations
Advanced Harmonic Analysis Research
3.73
article

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

Alexander I. Nazarov, Musina Musina
article en
1 citations

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. Pisa, 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.

Differential and Integral EquationsVol. 38(11/12)
Openalex Percentile: Top 8%
Advanced Harmonic Analysis Research
3.73
DOISourceOpenAlex
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Hardy type inequalities with mixed cylindrical-spherical weights: the general case — Alexander I. Nazarov, Musina Musina · Differential and Integral Equations (2025) | TGRS Research Map | TGRS