32 citations · 123 across the 21 of their papers we have counts for
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math.FA2018★ 26 cited
Polya-Szego inequality and Dirichlet -spectral gap for non-smooth spaces with Ricci curvature bounded below
Andrea Mondino, Daniele Semola
We study decreasing rearrangements of functions defined on (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by and dimension bounded above by $N…
math.MG2018★ 9 cited
Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
Elia Bruè, Daniele Semola
We prove a regularity result for Lagrangian flows of Sobolev vector fields over RCD(K,N) metric measure spaces, regularity is understood with respect to a newly defined quasi-metri…
math.MG2018★ 3 cited
Regularity of Lagrangian flows over spaces
Elia Bruè, Daniele Semola
The aim of this note is to provide regularity results for Regular Lagrangian flows of Sobolev vector fields over compact metric measure spaces verifying the Riemannian curvature di…