6 citations · 16 across the 12 of their papers we have counts for
13 papers · 1 filter
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…
Smooth semi-Lipschitz functions and almost isometries of Finsler manifolds
Aris Daniilidis, Jesus Jaramillo, Francisco Venegas M
The convex cone of real-valued smooth semi-Lipschitz functions on a Finsler manifold is an order-algebraic structure that captures…
Surjection and inversion for locally Lipschitz maps between Banach spaces
Olivia Gutú, Jesús A. Jaramillo
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition. To this end, we consider…
Restricting open surjections
Jesus A. Jaramillo, Enrico Le Donne, Tapio Rajala
We show that any continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density charact…
Inversion of nonsmooth maps between Banach spaces
Jesús A. Jaramillo, Sebastián Lajara, Óscar Madiedo
We study the invertibility nonsmooth maps between infinite-dimensional Banach spaces. To this end, we introduce an analogue of the notion of pseudo-Jacobian matrix of Jeyakumar and…
Smooth surjections and surjective restrictions
Richard M. Aron, Jesús A. Jaramillo, Enrico Le Donne
Given a surjective mapping between Banach spaces, we investigate the existence of a subspace of , with the same density character as , such that the restric…