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Hardy's inequality in the scope of Dirichlet forms

Hardy's inequality in the scope of Dirichlet forms 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Hardy's inequality in the scope of Dirichlet forms

Forum Mathematicum , Volume 24 (4): 17 – Jul 1, 2012

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References (24)

Publisher
de Gruyter
Copyright
© 2012 by Walter de Gruyter Berlin Boston
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/form.2011.082
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Forum Mathematicumde Gruyter

Published: Jul 1, 2012

Keywords: Hardy's inequality; Dirichlet form; energy measure

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