English

On the Domains of Dirichlet Forms on Metric Measure Spaces

Functional Analysis 2020-06-12 v3

Abstract

We prove that the domain of the local Dirichlet form is strictly contained in the domain of any stable-like non-local Dirichlet form on general metric measure spaces.

Keywords

Cite

@article{arxiv.1912.09868,
  title  = {On the Domains of Dirichlet Forms on Metric Measure Spaces},
  author = {Meng Yang},
  journal= {arXiv preprint arXiv:1912.09868},
  year   = {2020}
}

Comments

22 pages, some results are from arXiv:1912.01955 by the author