Double logarithmic inequality with a sharp constant in four space dimensions
Analysis of PDEs
2013-01-14 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We prove a Log Log inequality with a sharp constant in four dimensions for radially symmetric functions. We also show that the constant in the Log estimate is almost sharp.
Cite
@article{arxiv.1301.2353,
title = {Double logarithmic inequality with a sharp constant in four space dimensions},
author = {Mohamed Majdoub and Tarek Saanouni},
journal= {arXiv preprint arXiv:1301.2353},
year = {2013}
}