"On the domains of Dirichlet forms on metric measure spaces"

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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. Click to show full 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: measure spaces; domains dirichlet; dirichlet forms; metric measure

Journal Title: Mathematische Zeitschrift
Year Published: 2022

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