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arXiv · 2008.01492

Rademacher-type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces

Lorenzo Dello Schiavo·Kohei Suzuki
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Abstract

We extensively discuss the Rademacher and Sobolev-to-Lipschitz properties for generalized intrinsic distances on strongly local Dirichlet spaces possibly without square field operator. We present many non-smooth and infinite-dimensional examples. As an application, we prove the integral Varadhan short-time asymptotic with respect to a given distance function for a large class of strongly local Dirichlet forms.

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Lorenzo Dello Schiavo, Kohei Suzuki. 2020-08-04. Rademacher-type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces. https://doi.org/10.1016/j.jfa.2021.109234

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