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20072026
most citedRiemannian Ricci curvature lower bounds in metric measure spaces with -finite measure

206 citations · 394 across the 45 of their papers we have counts for

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2 papers · 1 filter

math.FA2023

Vector calculus on weighted reflexive Banach spaces

Enrico Pasqualetto, Tapio Rajala

We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces…

math.MG2023

Approximation by BV-extension sets via perimeter minimization in metric spaces

Jesse Koivu, Danka Lučić, Tapio Rajala

We show that every bounded domain in a metric measure space can be approximated in measure from inside by closed -extension sets. The extension sets are obtained by minimizing…