32 citations · 154 across the 12 of their papers we have counts for
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3 papers · 1 filter
math.DG2013★ 18 cited
On Interpolation and Curvature via Wasserstein Geodesics
Martin Kell
In this article, a proof of the interpolation inequality along geodesics in -Wasserstein spaces is given. This interpolation inequality was the main ingredient to prove the Bore…
math.AP2013★ 23 cited
Harmonic functions on metric measure spaces
Bobo Hua, Martin Kell, Chao Xia
In this paper, we study harmonic functions on metric measure spaces with Riemannian Ricci curvature bounded from below, which were introduced by Ambrosio-Gigli-Savaré. We prove a C…
math.MG2013★ 8 cited
A Note on Lipschitz Continuity of Solutions of Poisson Equations in Metric Measure Spaces
Martin Kell
In this note we show how to adjust some proofs of Koskela et. al 2003 and Jiang 2011 in order to show that in certain spaces , like -spaces, every Sobolev functi…