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

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CA2021

Two-sided boundary points of Sobolev-extension domains on Euclidean spaces

Miguel García-Bravo, Tapio Rajala, Jyrki Takanen

We prove an estimate on the Hausdorff-dimension of the set of two-sided boundary points of general Sobolev-extension domains on Euclidean spaces. We also present examples showing l…

math.FA2021

Bi-Lipschitz invariance of planar $B V$ - and $W^{1, 1}$ -extension domains

Miguel García-Bravo, Tapio Rajala, Zheng Zhu

We prove that a bi-Lipschitz image of a planar $B V$ -extension domain is also a $B V$ -extension domain, and that a bi-Lipschitz image of a planar $W^{1, 1}$ -extension domain is again…

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 $B V$ -…

Two-sided boundary points of Sobolev-extension domains on Euclidean spaces

Bi-Lipschitz invariance of planar BV- and W1,1-extension domains

Strong BV-extension and W1,1-extension domains

Bi-Lipschitz invariance of planar $B V$ - and $W^{1, 1}$ -extension domains

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