3 papers
math.FA2025
Kernels of trace operators via fine continuity
Michael Hinz, Simon N. Chandler-Wilde, David P. Hewett
Given a closed subset of that is the support of a measure , we study the kernels of trace operators from fractional Sobolev spaces into…
math.FA2024
Differential complexes for local Dirichlet spaces, and non-local-to-local approximations
Michael Hinz, Jörn Kommer
We study differential -forms on non-smooth and possibly fractal metric measure spaces, endowed with a local Dirichlet form. Using this local Dirichlet form, we prove a result on…
math.FA2023
Non-local boundary energy forms for quasidiscs: Codimension gap and approximation
Simone Creo, Michael Hinz, Maria Rosaria Lancia
We consider non-local energy forms of fractional Laplace type on quasicircles and prove that they can be approximated by similar energy forms on polygonal curves. The approximation…