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 2017Show all

2 papers · 1 filter

math.DG2017★ 8 cited

Global geometry and $C^{1}$ convex extensions of $1$ -jets

Daniel Azagra, Carlos Mudarra

Let $E$ be an arbitrary subset of $R^{n}$ (not necessarily bounded), and $f : E \to R$ , $G : E \to R^{n}$ be functions. We provide necessary and sufficient condition…

math.FA2017

Explicit formulas for $C^{1, 1}$ and $C_{conv}^{1, ω}$ extensions of $1$ -jets in Hilbert and superreflexive spaces

Daniel Azagra, Erwan Le Gruyer, Carlos Mudarra

Given $X$ a Hilbert space, $ω$ a modulus of continuity, $E$ an arbitrary subset of $X$ , and functions $f : E \to R$ , $G : E \to X$ , we provide necessary and sufficient conditions…

Global geometry and C1 convex extensions of 1-jets

Explicit formulas for C1,1 and Cconv1,ω​ extensions of 1-jets in Hilbert and superreflexive spaces

Global geometry and $C^{1}$ convex extensions of $1$ -jets

Explicit formulas for $C^{1, 1}$ and $C_{conv}^{1, ω}$ extensions of $1$ -jets in Hilbert and superreflexive spaces