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Hardy inequalities on metric measure spaces, II: the case p > q
- Source :
- Proc Math Phys Eng Sci, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Publication Year :
- 2021
- Publisher :
- The Royal Society Publishing, 2021.
-
Abstract
- In this note we continue giving the characterisation of weights for two-weight Hardy inequalities to hold on general metric measure spaces possessing polar decompositions. Since there may be no differentiable structure on such spaces, the inequalities are given in the integral form in the spirit of Hardy's original inequality. This is a continuation of our paper [M. Ruzhansky and D. Verma. Hardy inequalities on metric measure spaces, Proc. R. Soc. A., 475(2223):20180310, 2018] where we treated the case $p\leq q$. Here the remaining range $p>q$ is considered, namely, $0<br />Comment: 18 pages; this is the second part to the paper arXiv:1806.03728. Final version, to appear in Proc. Royal Soc. A
- Subjects :
- metric measure spaces
Pure mathematics
General Mathematics
General Physics and Astronomy
Characterization (mathematics)
01 natural sciences
Measure (mathematics)
010305 fluids & plasmas
Mathematics - Spectral Theory
Mathematics - Analysis of PDEs
homogeneous group
0103 physical sciences
Riemannian manifolds with negative curvature
0101 mathematics
Mathematical Physics
Research Articles
Mathematics
Sinc function
26D10, 22E30
Hyperbolic space
010102 general mathematics
Hardy inequalities
General Engineering
Mathematics - Functional Analysis
Mathematics and Statistics
hyperbolic space
Metric (mathematics)
Homogeneous group
Subjects
Details
- Language :
- English
- ISSN :
- 13645021 and 14712946
- Database :
- OpenAIRE
- Journal :
- Proc Math Phys Eng Sci, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Accession number :
- edsair.doi.dedup.....ba218920d3b5452e8928aba16c61e978