Hardy inequalities on metric measure spaces
2019 ◽
Vol 475
(2223)
◽
pp. 20180310
Keyword(s):
In this note, we give several characterizations 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. We give examples obtaining new weighted Hardy inequalities on R n , on homogeneous groups, on hyperbolic spaces and on Cartan–Hadamard manifolds. We note that doubling conditions are not required for our analysis.
2021 ◽
Vol 477
(2250)
◽
pp. 20210136
2014 ◽
Vol 66
(4)
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pp. 721-742
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Keyword(s):
2004 ◽
Vol 183
(2)
◽
pp. 271-315
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2017 ◽
Vol 272
(8)
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pp. 3311-3346
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2006 ◽
Vol 279
(1-2)
◽
pp. 150-163
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