Hardy's inequality in the scope of Dirichlet forms
classification
🧮 math.FA
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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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