<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation

Name: Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation
Creator: Van Schaftingen, Jean
Keywords: 26D10 (Primary) 35A23, 42B35, 46B70, 46E35 (Secondary), Mathematics - Classical Analysis and ODEs, General Mathematics, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, 01 natural sciences, Mathematics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 07 Sep 2023Embargo end date: 01 Jan 2022 Belgium Publisher:Cellule MathDoc/Centre MersenneJournal:Comptes Rendus. Mathématique, volume 361, pages 1,041-1,049 (eissn: 1778-3569,

Authors: Van Schaftingen, Jean;

doi: 10.5802/crmath.463 , 10.48550/arxiv.2208.14691

arXiv: http://arxiv.org/abs/2208.14691

handle: 2078.1/277986

Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation

- Summary
- Subjects
- Metrics

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.

11 pages, additional references and localised higher-order interpolation, and typographical corrections

Country

Belgium

Related Organizations

Fund for Scientific Research
Belgium
Université Catholique de Louvain
Belgium

Keywords

26D10 (Primary) 35A23, 42B35, 46B70, 46E35 (Secondary), Mathematics - Classical Analysis and ODEs, General Mathematics, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

gold

Fields of Science

Fields of Science