2 citations · 2 across the 2 of their papers we have counts for
4 papers
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a -Poincaré inequality
Estibalitz Durand-Cartagena, Sylvester Eriksson-Bique, Riikka Korte +1
We consider two notions of functions of bounded variation in complete metric measure spaces, one due to Martio and the other due to Miranda~Jr. We show that these two notions coinc…
Metric and geometric relaxations of self-contracted curves
Aris Daniilidis, Robert Deville, Estibalitz Durand Cartagena
Self-contractedness (or self-expandedness, depending on the orientation) is hereby extended in two natural ways giving rise, for any , to the metric notion of …
Rectifiability of Self-contracted curves in the Euclidean space and applications
Aris Daniilidis, Guy David, Estibalitz Durand-Cartagena +1
It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis, Ley, and Sabo…
On Whitney-type characterization of approximate differentiability on metric measure spaces
Estibalitz Durand-Cartagena, Lizaveta Ihnatsyeva, Riikka Korte +1
We study approximately differentiable functions on metric measure spaces admitting a Cheeger differentiable structure. The main result is a Whitney-type characterization of approxi…