One dimensional Weighted Hardy's Inequalities and application
Analysis of PDEs
2020-12-17 v2 Functional Analysis
Abstract
In the present paper we shall improve one dimensional weighted Hardy inequalities with one-sided boundary condition by adding sharp remainders. As an application, we shall establish n dimensional weighted Hardy inequalities in a bounded smooth domain with weight functions being powers of the distance function d(x) to the boundary. Our results will be applicable to variational problems in a coming paper.
Cite
@article{arxiv.1909.10689,
title = {One dimensional Weighted Hardy's Inequalities and application},
author = {Xiaojing Liu and Toshio Horiuchi and Hiroshi Ando},
journal= {arXiv preprint arXiv:1909.10689},
year = {2020}
}
Comments
16 pages. This research was partially supported by Grant-in-Aid for Scientific Research (No. 16K05189) and (No. 15H03621)