Sharp trace inequalities for fractional Laplacians
Analysis of PDEs
2025-05-26 v1
Abstract
The sharp trace inequality of Jose Escobar is extended to traces for the fractional Laplacian on R^n and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb's sharp form of the Hardy-Littlewood-Sobolev inequality.
Keywords
Cite
@article{arxiv.1105.4079,
title = {Sharp trace inequalities for fractional Laplacians},
author = {Amit Einav and Michael Loss},
journal= {arXiv preprint arXiv:1105.4079},
year = {2025}
}
Comments
LaTex, 7 pages