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A tensor product approach to non-local differential complexes
Michael Hinz, Jörn Kommer
We study differential complexes of Kolmogorov-Alexander-Spanier type on metric measure spaces associated with unbounded non-local operators, such as operators of fractional Laplaci…
Removable sets and -uniqueness on manifolds and metric measure spaces
Michael Hinz, Jun Masamune, Kohei Suzuki
We study symmetric diffusion operators on metric measure spaces. Our main question is whether or not the restriction of the operator to a suitable core continues to be essentially…
Approximation of partial differential equations on compact resistance spaces
Michael Hinz, Melissa Meinert
We consider linear partial differential equations on resistance spaces that are uniformly elliptic and parabolic in the sense of quadratic forms and involve abstract gradient and d…
Capacities, removable sets and -uniqueness on Wiener spaces
Michael Hinz, Seunghyun Kang
We prove the equivalence of two different types of capacities in abstract Wiener spaces. This yields a criterion for the -uniqueness of the Ornstein-Uhlenbeck operator and its…
Energy measure closability for Dirichlet forms
Michael Hinz, Alexander Teplyaev
We consider symmetric Dirichlet forms on locally compact and non-locally compact spaces and provide an elementary proof for their closability with respect to energy dominant measur…