3 citations · 3 across the 3 of their papers we have counts for
3 papers
Embeddability and rectifiability of Lipschitz differentiability spaces
Ivan Caamano, Sylvester Eriksson-Bique, Elefterios Soultanis
We prove that Lipschitz differentiability spaces which bi-Lipschitz embed into an RNP-space are countably rectifiable. In contrast to earlier methods of Cheeger and Kleiner, our ap…
Connections between metric differentiability and rectifiability
Iván Caamaño, Estíbalitz Durand-Cartagena, Jesús Á. Jaramillo +2
We combine Kirchheim's metric differentials with Cheeger charts in order to establish a non-embeddability principle for any collection of Banach (or metric) spaces: if…
Sobolev spaces of vector-valued functions
Iván Caamaño, Jesús A. Jaramillo, Ángeles Prieto +1
We are concerned here with Sobolev-type spaces of vector-valued functions. For an open subset and a Banach space , we compare the classical Sobolev space…