Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation
Classical Analysis and ODEs
2023-09-11 v3
Abstract
We prove Gagliardo-Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.
Keywords
Cite
@article{arxiv.2208.14691,
title = {Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation},
author = {Jean Van Schaftingen},
journal= {arXiv preprint arXiv:2208.14691},
year = {2023}
}
Comments
11 pages, additional references and localised higher-order interpolation, and typographical corrections