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Hardy's inequality in the scope of Dirichlet forms
-
Nedra Belhadjrhouma
and
Ali Ben Amor
Published/Copyright:
June 29, 2012
Abstract.
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.
Received: 2009-05-17
Revised: 2010-06-16
Published Online: 2012-06-29
Published in Print: 2012-07-01
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Representations of quivers over a ring and the Weak Krull–Schmidt Theorems
- Logarithmically improved regularity criteria for the 3D viscous MHD equations
- Tilting modules and universal localization
- A bound on the degree of schemes defined by quadratic equations
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- Construction of quasi-periodic response solutions in forced strongly dissipative systems
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- Presentations of graph braid groups
- On the vanishing of the lower K-theory of the holomorph of a free group on two generators
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