强局部狄利克雷空间的 Rademacher 型定理与 Sobolev-to-Lipschitz 性质
泛函分析
2021-09-28 v3 度量几何
概率论
摘要
我们广泛讨论了可能不带平方场算子的强局部狄利克雷空间上广义内蕴距离的 Rademacher 与 Sobolev-to-Lipschitz 性质。我们给出了许多非光滑与无限维例子。作为一个应用，我们针对一大类强局部狄利克雷形式，证明了关于给定距离函数的积分 Varadhan 短时间渐近。
引用
@article{arxiv.2008.01492,
title = {Rademacher-type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces},
author = {Lorenzo Dello Schiavo and Kohei Suzuki},
journal= {arXiv preprint arXiv:2008.01492},
year = {2021}
}
备注
44 pages, list of notations (end), Title, Abstract and Introduction have been changed. Lemma 2.10, Corollary 2.35, and Proposition 3.31 have been removed. Proposition 3.7 and Corollary 4.17 have been added