On the weighted inequality between the Gagliardo and Sobolev seminorms
Classical Analysis and ODEs
2023-02-28 v1 Analysis of PDEs
Abstract
We prove weighted inequalities between the Gagliardo and Sobolev seminorms and also between the Marcinkiewicz quasi-norm and the Sobolev seminorm. With weights we improve earlier results of Bourgain, Brezis, and Mironescu.
Keywords
Cite
@article{arxiv.2302.14029,
title = {On the weighted inequality between the Gagliardo and Sobolev seminorms},
author = {Ritva Hurri-Syrjänen and Javier C. Martínez-Perales and Carlos Pérez and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:2302.14029},
year = {2023}
}