Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
Classical Analysis and ODEs
2023-01-04 v2 Analysis of PDEs
Functional Analysis
Abstract
In the cases where there is no Sobolev-type or Gagliardo-Nirenberg-type fractional estimate involving , we establish alternative estimates where the strong norms are replaced by Lorentz norms.
Keywords
Cite
@article{arxiv.2104.09867,
title = {Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail},
author = {Haïm Brezis and Jean Van Schaftingen and Po-Lam Yung},
journal= {arXiv preprint arXiv:2104.09867},
year = {2023}
}
Comments
Fixed up some typos. arXiv admin note: text overlap with arXiv:2003.05216