45 citations · 165 across the 23 of their papers we have counts for
34 papers
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…
Boundary value problems on non-Lipschitz uniform domains: Stability, compactness and the existence of optimal shapes
Michael Hinz, Anna Rozanova-Pierrat, Alexander Teplyaev
We study boundary value problems for bounded uniform domains in , , with non-Lipschitz (and possibly fractal) boundaries. We prove Poincaré inequalities with…
Self-adjoint Laplacians on partially and generalized hyperbolic attractors
Shayan Alikhanloo, Michael Hinz
We construct self-adjoint Laplacians and symmetric Markov semigroups on partially hyperbolic attractors and on hyperbolic attractors with singularities, endowed with Gibbs u-measur…
Sobolev regularity of occupation measures and paths, variability and compositions
Michael Hinz, Jonas M. Tölle, Lauri Viitasaari
We prove a result on the fractional Sobolev regularity of composition of paths of low fractional Sobolev regularity with functions of bounded variation. The result relies on the no…
Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors
Shayan Alikhanloo, Michael Hinz
We construct self-adjoint Laplacians and symmetric Markov semigroups on hyperbolic attractors, endowed with Gibbs -measures. If the measure has full support, we can also conclud…