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Abstract.We revisit Hardy's inequality in the scope of regular Dirichlet formsfollowing an analytical method. We shall give an alternative necessary and sufficientcondition for the occurrence of Hardy's inequality. A special emphasiswill be given for the case wherethe Dirichlet form under consideration is strongly local, extending therefore some known resultsin the Euclidean case.
Forum Mathematicum – de Gruyter
Published: Jul 1, 2012
Keywords: Hardy's inequality; Dirichlet form; energy measure
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