8 citations · 10 across the 5 of their papers we have counts for
5 papers
On a Capacity for Modular Spaces
Markus Biegert
The purpose of this article is to define a capacity on certain topological measure spaces with respect to certain function spaces consisting of measurable functions. In thi…
The Relative Capacity
Markus Biegert
The purpose of this article is to introduce the relative -capacity with respect to an open set in $\IR^N$. It is a Choquet capacity on the closure of and ex…
Isometric Lattice Homomorphisms between Sobolev Spaces
Markus Biegert, Robin Nittka
Given bounded domains and in $\mathds{R}^N$ and an isometry from to , we give sufficient conditions ensuring that corresponds to a…
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…
Lattice Homomorphisms between Sobolev Spaces
Markus Biegert
We show that every vector lattice homomorphism between Sobolev spaces can be represented by a composition and a multiplication, that is, is of the form …