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arXiv · 2411.10201

A sharp higher order Sobolev embedding

Raul Hindov·Shahaf Nitzan·Jan-Fredrik Olsen·Eskil Rydhe
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Abstract

We obtain sharp embeddings from the Sobolev space $W^{k,2}_0(-1,1)$ into the space $L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.

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Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen, Eskil Rydhe. 2024-11-15. A sharp higher order Sobolev embedding. https://arxiv.org/abs/2411.10201

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