Mosco Convergence of Stable-Like Non-Local Dirichlet Forms on Metric Measure Spaces

2019/12/04 by Yang, Meng
#31C25 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 60J35 #Secondary 28A80

paper · doi:10.48550/arxiv.1912.01955

Abstract

We prove that stable-like non-local Dirichlet forms converge to local Dirichlet form in the sense of Mosco on metric measure spaces. We prove that subordinated Dirichlet forms converge to the original Dirichlet form in the sense of Mosco on metric measure spaces.

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