Mosco Convergence of Stable-Like Non-Local Dirichlet Forms on Metric Measure Spaces
Functional Analysis
2020-06-12 v2
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.
Keywords
Cite
@article{arxiv.1912.01955,
title = {Mosco Convergence of Stable-Like Non-Local Dirichlet Forms on Metric Measure Spaces},
author = {Meng Yang},
journal= {arXiv preprint arXiv:1912.01955},
year = {2020}
}
Comments
13 pages. The main result Theorem 1.3 was already obtained in Lemma 4.2 of Z.-Q. Chen and R. Song, Continuity of eigenvalues of subordinate processes in domains. Math. Z. 252 (2006), 71-89. Some other results were moved to arXiv:1912.09868