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 2019Show all

3 papers · 1 filter

math.FA2019

$C^{1, ω}$ extension formulas for $1$ -jets on Hilbert spaces

Daniel Azagra, Carlos Mudarra

We provide necessary and sufficient conditions for a $1$ -jet $(f, G) : E \to R \times X$ to admit an extension $(F, \nabla F)$ for some $F \in C^{1, ω} (X)$ . Here $E$ s…

math.FA2019

Convex $C^{1}$ extensions of $1$ -jets from compact subsets of Hilbert spaces

Daniel Azagra, Carlos Mudarra

Let $X$ denote a Hilbert space. Given a compact subset $K$ of $X$ and two continuous functions $f : K \to R$ , $G : K \to X$ , we show that a necessary and sufficient condition for…

math.FA2019

Prescribing tangent hyperplanes to $C^{1, 1}$ and $C^{1, ω}$ convex hypersurfaces in Hilbert and superreflexive Banach spaces

Daniel Azagra, Carlos Mudarra

Let $X$ denote $R^{n}$ or, more generally, a Hilbert space. Given an arbitrary subset $C$ of $X$ and a collection $H$ of affine hyperplanes of $X$ such that every…

C1,ω extension formulas for 1-jets on Hilbert spaces

Convex C1 extensions of 1-jets from compact subsets of Hilbert spaces

Prescribing tangent hyperplanes to C1,1 and C1,ω convex hypersurfaces in Hilbert and superreflexive Banach spaces

$C^{1, ω}$ extension formulas for $1$ -jets on Hilbert spaces

Convex $C^{1}$ extensions of $1$ -jets from compact subsets of Hilbert spaces

Prescribing tangent hyperplanes to $C^{1, 1}$ and $C^{1, ω}$ convex hypersurfaces in Hilbert and superreflexive Banach spaces