Carlos Mudarra

activity

20162026

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5 papers · 1 filter

math.CA2026

The sharp Whitney extension theorem for convex $C^{1}$ Lipschitz functions

Carlos Mudarra

For an arbitrary set $E \subset R^{n}$ , and functions $f : E \to R$ , $G : E \to R^{n}$ with $G$ bounded, we construct $C^{1} (R^{n})$ convex extensions $(F,…

math.CA2025

Differentiable convex extensions with sharp Lipschitz constants

Thomas Deck, Carlos Mudarra

Given a superreflexive Banach space $X$ , and a set $E \subset X$ , we characterise the $1$ -jets $(f, G)$ on $E$ that admit $C^{1, ω}$ convex extensions $(F, D F)$ to all of $X$ ; where $…

math.CA2025

Characterizations for arbitrary Békollé-Bonami weights

Carlos Mudarra, Karl-Mikael Perfekt

We precisely characterize the relationships between the reverse Hölder inequality, the Fujii-Wilson condition, the Békollé-Bonami $B_{p}$ condition, the $B_{\infty}$ …

math.CA2024

Traces of vanishing Hölder spaces

Kaushik Mohanta, Carlos Mudarra, Tuomas Oikari

For an arbitrary subset $E \subset R^{n},$ we introduce and study the three vanishing subspaces of the Hölder space $C ˙^{0, ω} (E)$ consisting of those functions for which…

math.CA2020

On the extension of Muckenhoupt weights in metric spaces

Emma-Karoliina Kurki, Carlos Mudarra

A theorem by Wolff states that weights defined on a measurable subset of $R^{n}$ and satisfying a Muckenhoupt-type condition can be extended into the whole space as Muckenho…

The sharp Whitney extension theorem for convex C1 Lipschitz functions

Differentiable convex extensions with sharp Lipschitz constants

Characterizations for arbitrary Békollé-Bonami weights

Traces of vanishing Hölder spaces

On the extension of Muckenhoupt weights in metric spaces

The sharp Whitney extension theorem for convex $C^{1}$ Lipschitz functions