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dc.contributor.authorRuzhansky, M
dc.contributor.authorVerma, D
dc.date.accessioned2021-06-03T15:00:09Z
dc.date.available2021-05-10
dc.date.available2021-06-03T15:00:09Z
dc.identifier.urihttps://qmro.qmul.ac.uk/xmlui/handle/123456789/72294
dc.description18 pages; this is the second part to the paper arXiv:1806.03728en_US
dc.description18 pages; this is the second part to the paper arXiv:1806.03728en_US
dc.description.abstractIn 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, $0<q<p$, $1<p<\infty.$ We give examples obtaining new weighted Hardy inequalities on $\mathbb R^n$, on homogeneous groups, on hyperbolic spaces, and on Cartan-Hadamard manifolds. We note that doubling conditions are not required for our analysis.en_US
dc.relation.ispartofProceedings A
dc.subjectmath.FAen_US
dc.subjectmath.FAen_US
dc.subjectmath-phen_US
dc.subjectmath.APen_US
dc.subjectmath.MPen_US
dc.subjectmath.SPen_US
dc.subject26D10, 22E30en_US
dc.titleHardy inequalities on metric measure spaces, II: The case $p>q$en_US
dc.typeArticleen_US
pubs.author-urlhttp://arxiv.org/abs/2102.06144v1en_US
pubs.notesNot knownen_US
pubs.publication-statusAccepteden_US
dcterms.dateAccepted2021-05-10


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