Application of multidimensional Hardy operator and its connection with a certain nonlinear differential equation in weighted variable Lebesgue spaces
Classical Analysis and ODEs
2012-12-07 v1
Abstract
In this paper a two weight criterion for multidimensional geometric mean operator in variable exponent Lebesgue space is proved. Also, we found a criterion on weight functions expressing one-dimensional Hardy inequality via a certain nonlinear differential equation. In particular, considered nonlinear differential equation is nonlinear integro-differential equation.
Keywords
Cite
@article{arxiv.1212.1423,
title = {Application of multidimensional Hardy operator and its connection with a certain nonlinear differential equation in weighted variable Lebesgue spaces},
author = {Bandaliyev Rovshan},
journal= {arXiv preprint arXiv:1212.1423},
year = {2012}
}