Carlos Mudarra

activity

20142026

C^{1}

convex extensions of

1

-jets

8 citations · 15 across the 14 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.FA2018

Extensions of convex functions with prescribed subdifferentials

Daniel Azagra, Juan Ferrera, Javier Gómez-Gil +1

Let $E$ be an arbitrary subset of a Banach space $X$ , $f : E \to R$ be a function, and $G : E ⇉ X^{*}$ be a set-valued mapping. We give necessary and su…

math.FA2018

Kirszbraun's theorem via an explicit formula

Daniel Azagra, Erwan Le Gruyer, Carlos Mudarra

Let $X, Y$ be two Hilbert spaces, $E$ a subset of $X$ and $G : E \to Y$ a Lipschitz mapping. A famous theorem of Kirszbraun's states that there exists $G : X \to Y$ with…

math.FA2018

Approximation of Lipschitz functions preserving boundary values

Robert Deville, Carlos Mudarra

Given an open subset $Ω$ of a Banach space and a Lipschitz function $u_{0} : Ω \to R,$ we study whether it is possible to approximate $u_{0}$ uniformly on $Ω$ by $C^{k}$ …