Hardy's Inequality for Dirichlet Forms
Copyright policy )Hardy's Inequality for Dirichlet Forms
The aim of the paper is to give necessary and sufficient conditions for the validity of an abstract form of Hardy's \(L^2\) inequality in which the Dirichlet integral is replaced by the Dirichlet form of a general symmetric Markov process. The case of equality in a given inequality is described. The general result is illustrated with examples.
- University of California, San Diego United States
Right processes, Hardy inequality, Applied Mathematics, diffusion, symmetric Markov process, Inequalities involving derivatives and differential and integral operators, Markov process, abstract Hardy's inequality, Dirichlet form, Analysis
Right processes, Hardy inequality, Applied Mathematics, diffusion, symmetric Markov process, Inequalities involving derivatives and differential and integral operators, Markov process, abstract Hardy's inequality, Dirichlet form, Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).34 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!