13 citations · 19 across the 3 of their papers we have counts for
6 papers
Fractional perimeters on the sphere
Andreas Kreuml, Olaf Mordhorst
This note treats several problems for the fractional perimeter or -perimeter on the sphere. The spherical fractional isoperimetric inequality is established. It turns out that t…
Fractional Sobolev norms and BV functions on manifolds
Andreas Kreuml, Olaf Mordhorst
The bounded variation seminorm and the Sobolev seminorm on compact manifolds are represented as a limit of fractional Sobolev seminorms. This establishes a characterization of func…
Duality of Floating and Illumination Bodies
Olaf Mordhorst, Elisabeth M. Werner
We investigate a duality relation between floating and illumination bodies. The definitions of these two bodies suggest that the polar of the floating body should be similar to the…
Floating and Illumination Bodies for Polytopes: Duality Results
Olaf Mordhorst, Elisabeth M. Werner
We consider the question how well a floating body can be approximated by the polar of the illumination body of the polar. We establish precise convergence results in the case of ce…
The optimal constants in Khintchine's inequality for the case 2<p<3
Olaf Mordhorst
A mean step in Haagerup's proof for the optimal constants in Khintchine's inequality is to show integral inequalities of type . F.L. Nazarov and A.N…
New results on affine invariant points
Olaf Mordhorst
We prove a conjecture of B. Grünbaum stating that the set of affine invariant points of a convex body equals to the set of points invariant under all affine linear symmetries of th…