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Hardy's Inequality for Dirichlet Forms
Authors:P. J. Fitzsimmons
Affiliation:Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California, 92093-0112, f1
Abstract:We prove an abstract form of Hardy's L2 inequality, in which the Dirichlet integral is replaced by the Dirichlet form of a general symmetric Markov process. A number of examples are provided.
Keywords:Hardy inequality   Dirichlet form   Markov process   diffusion
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