Markus Biegert

8 citations · 10 across the 3 of their papers we have counts for

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math.AP2008★ 8 cited

The Relative Capacity

Markus Biegert

The purpose of this article is to introduce the relative $p$ -capacity $⋒_{p, Ω}$ with respect to an open set $Ω$ in $\IR^N$. It is a Choquet capacity on the closure of $Ω$ and ex…

math.AP2008★ 1 cited

Diffusion determines the manifold

Wolfgang Arendt, Markus Biegert, A. F. M. ter Elst

We prove under a weak smoothness condition that two Riemannian manifold are isomorphic if and only there exists an order isomorphism which intertwines with the Dirichlet type heat…

math.AP2008★ 1 cited

Lattice Homomorphisms between Sobolev Spaces

Markus Biegert

We show that every vector lattice homomorphism $T$ between Sobolev spaces can be represented by a composition and a multiplication, that is, $T$ is of the form $T u (x) = u (h (x)) g (x)$ …