Carlos Mudarra

activity

20242026

collaborators

6 papers

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 $C^{1, I ¨ }$ convex extensions $(F, D F)$ to all of $X$ ; where…

math.FA2025

Approximation in HÃ¶lder Spaces

Carlos Mudarra, Tuomas Oikari

We introduce new vanishing subspaces of the homogeneous HÃ¶lder space $C ˙^{0, I ¨ } (X, Y)$ in the generality of a doubling modulus $I ¨ $ and normed spaces $X$ and $Y .$ For many cou…

math.CA2025

Weak porosity on metric measure spaces

Carlos Mudarra

We characterize the subsets $E$ of a metric space $X$ with doubling measure whose distance function to some negative power $dist (\cdot, E)^{- I^\pm}$ belongs to the Muckenhoupt…

math.CA2025

Carlos Mudarra, Karl-Mikael Perfekt

We precisely characterize the relationships between the reverse HÃ¶lder inequality, the Fujii-Wilson condition, the BÃ©kollÃ©-Bonami $B_{p}$ condition, the $\mathrm{B}_\inft…

math.CA2024

Traces of vanishing HÃ¶lder 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 HÃ¶lder space $C ˙^{0, I ¨ } (E)$ consisting of those functions for whic…

The sharp Whitney extension theorem for convex C1 Lipschitz functions

Differentiable convex extensions with sharp Lipschitz constants

Approximation in HÃ¶lder Spaces

Weak porosity on metric measure spaces

Characterizations for arbitrary BÃ©kollÃ©-Bonami weights

Traces of vanishing HÃ¶lder spaces

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