Functional inequalities for fractional Dirichlet forms
Journal Title: Science Paper Online - Year 2007, Vol 2, Issue 1
Abstract
Based on the functional inequality for a given Dirichlet form, the same type inequality is established for the quadric form associated to the generator with a power. As applications, some concrete functional inequalities, including the super inequality, the weak Poincare inequality, and the intrinsic super inequality, are studied for Dirichlet operators with powers. Some simple examples are provided to show the optimality of the main result.
Authors and Affiliations
Fengyu Wang
Keywords
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