This paper is devoted to the study of sets of finite perimeter in RCD. K; N/metric measure
spaces. Its aim is to complete the picture of the generalization of De Giorgi's theorem within …

This is the first of two works concerning the Sobolev calculus on metric measure spaces and
its applications. In this work, we focus on several notions of metric Sobolev space and on …

We prove a general criterion for the density in energy of suitable subalgebras of Lipschitz
functions in the metric Sobolev space H 1, p (X, d, m) associated with a positive and finite …

Abstract We extend Korevaar–Schoen's theory of metric valued Sobolev maps to cover the
case of the source space being an RCD RCD space. In this situation it appears that no …

For an harmonic map $ u $ from a domain $ U\subset {\rm X} $ in an ${\sf RCD}(K, N) $
space ${\rm X} $ to a ${\sf CAT}(0) $ space ${\rm Y} $ we prove the Lipschitz estimate\[{\rm …

We study maps of bounded variation defined on a metric measure space and valued into a
metric space. Assuming the source space to satisfy a doubling and Poincar\'e property, we …

arXiv:2306.03684v1 [math.FA] 6 Jun 2023 Page 1 arXiv:2306.03684v1 [math.FA] 6 Jun 2023
Vector calculus on weighted reflexive Banach spaces Enrico Pasqualetto∗ and Tapio Rajala† …

We establish Lipschitz regularity of harmonic maps from RCD (K, N) metric measure spaces
with lower Ricci curvature bounds and dimension upper bounds in synthetic sense with …

Infinitesimal Hilbertianity of Weighted Riemannian Manifolds Page 1 Canad. Math. Bull. Vol.
63 ( ), pp. – http://dx.doi.org/. /S ©Canadian Mathematical Society Infinitesimal Hilbertianity of …

Characterisation of upper gradients on the weighted Euclidean space and applications | Annali
di Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Log in Menu …