The two-weight Hardy inequality: a new elementary and universal proof
Classical Analysis and ODEs
2021-10-01 v1 Analysis of PDEs
Functional Analysis
Abstract
We give a~new proof of the known criteria for the inequality \begin{equation*} \left(\int_{0}^{\infty}\left(\int_{0}^{t}f\right)^{q}w(t)\,dt\right)^{\frac{1}{q}} \leq C \left(\int_{0}^{\infty}f^{p}v\right)^{\frac{1}{p}}. \end{equation*} The innovation is in the elementary nature of the proof and its versatility.
Keywords
Cite
@article{arxiv.2109.15011,
title = {The two-weight Hardy inequality: a new elementary and universal proof},
author = {Amiran Gogatishvili and Luboš Pick},
journal= {arXiv preprint arXiv:2109.15011},
year = {2021}
}