度量测度空间上稳定型非局部 Dirichlet 型的 Mosco 收敛
泛函分析
2020-06-12 v2
摘要
我们证明了在度量测度空间上，稳定型非局部 Dirichlet 型在 Mosco 意义下收敛于局部 Dirichlet 型。我们证明了在度量测度空间上，从属 Dirichlet 型在 Mosco 意义下收敛于原 Dirichlet 型。
引用
@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}
}
备注
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