Miguel Garc'ia-Bravo

activity

20182026

most citedExtensions and approximations of Banach-valued Sobolev functions

3 citations · 3 across the 8 of their papers we have counts for

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math.MG2026

Extension properties of planar subsets supporting a weak $(1, 1)$ -Poincaré inequality

Miguel García-Bravo, Tapio Rajala

We study Sobolev and $B V$ -extension properties of planar subsets. In particular, we prove that fat Sierpiński carpets that support a weak $(1, 1)$ -Poincaré inequality are $W^{1, 1}$ -…

math.MG2025

On infinity thick quasiconvexity and applications

Miguel García-Bravo, Toni Ikonen, Zheng Zhu

We investigate geometric properties of a metric measure space where every function in the Newton--Sobolev space $N^{1, \infty} (Z)$ has a Lipschitz representative. We prove that when…

math.MG2021

Strong $B V$ -extension and $W^{1, 1}$ -extension domains

Miguel García-Bravo, Tapio Rajala

We show that a bounded domain in a Euclidean space is a $W^{1, 1}$ -extension domain if and only if it is a strong $B V$ -extension domain. In the planar case, bounded and strong $B V$ -…

Extension properties of planar subsets supporting a weak (1,1)-Poincaré inequality

On infinity thick quasiconvexity and applications

Strong BV-extension and W1,1-extension domains

Extension properties of planar subsets supporting a weak $(1, 1)$ -Poincaré inequality

Strong $B V$ -extension and $W^{1, 1}$ -extension domains