A sharp higher order Sobolev embedding
Functional Analysis
2024-11-18 v1
Abstract
We obtain sharp embeddings from the Sobolev space into the space and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.
Cite
@article{arxiv.2411.10201,
title = {A sharp higher order Sobolev embedding},
author = {Raul Hindov and Shahaf Nitzan and Jan-Fredrik Olsen and Eskil Rydhe},
journal= {arXiv preprint arXiv:2411.10201},
year = {2024}
}