Michael Hinz

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math.FA2025

Kernels of trace operators via fine continuity

Michael Hinz, Simon N. Chandler-Wilde, David P. Hewett

Given a closed subset $I^$ of $R^{n}$ that is the support of a measure $I^¼$ , we study the kernels of trace operators from fractional Sobolev spaces $H_{p}^{I^} \pm (R^{n})$ in…

math.FA2025

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…

math.FA2024

Differential complexes for local Dirichlet spaces, and non-local-to-local approximations

Michael Hinz, JÃ¶rn Kommer

We study differential $p$ -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…