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arxiv: 0904.0179 · v2 · submitted 2009-04-01 · 🧮 math.FA

Hardy's inequality in the scope of Dirichlet forms

classification 🧮 math.FA
keywords dirichlethardyinequalitycaseformsscopealternativeanalytical
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We revisit Hardy's inequality in the scope of regular Dirichlet forms following an analytical method. We shall give an alternative necessary and sufficient condition for the occurrence of Hardy's inequality. A special emphasis will be given for the case where the Dirichlet form under consideration is strongly local, extending therefore some known results in the Euclidean case.

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