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arXiv · 2402.11731

Sobolev extension in a simple case

Marjorie Drake·Charles Fefferman·Kevin Ren·Anna Skorobogatova
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Abstract

In this paper, we establish the existence of a bounded, linear extension operator $T: L^{2,p}(E) \to L^{2,p}(\mathbb{R}^2)$ when $1<p<2$ and $E$ is a finite subset of $\mathbb{R}^2$ contained in a line.

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Marjorie Drake, Charles Fefferman, Kevin Ren, Anna Skorobogatova. 2024-02-18. Sobolev extension in a simple case. https://arxiv.org/abs/2402.11731

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