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Hardy’s Inequality on Metric Measure Spaces and Its Characterization

Keying Yuan, Mingjie Liang

Abstract


We consider the Hardy inequality on metric measure spaces and establish the characterization of the remainder term in the Hardy inequality. In particular, the probabilistic meaning of the remainder is explicitly presented.

Keywords


Metric measure space; Hardy’s inequality; Remainder

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References


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DOI: http://dx.doi.org/10.18686/ahe.v7i27.10462

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