Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality
Functional Analysis
2024-01-12 v2
Abstract
We establish a new improvement of the classical -Hardy inequality on the multidimensional Euclidean space in the supercritical case. Recently, in [14], there has been a new kind of development of the one dimensional Hardy inequality. Using some radialisation techniques of functions and then exploiting symmetric decreasing rearrangement arguments on the real line, the new multidimensional version of the Hardy inequality is given. Some consequences are also discussed.
Keywords
Cite
@article{arxiv.2209.08395,
title = {Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality},
author = {Prasun Roychowdhury and Michael Ruzhansky and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2209.08395},
year = {2024}
}
Comments
15 pages; revised version with corrected formulations and arguments; to replace the previous version