Restricted boundedness of translation operators on variable Lebesgue spaces
Functional Analysis
2020-09-09 v5
Abstract
In this paper, we investigate the inequality \begin{equation*} \left\Vert f(\cdot +h)\right\Vert_{p\left( \cdot \right) }\leq A\left\Vert f\right\Vert_{p\left( \cdot \right) },\quad h\in \mathbb{R}^{n}, A>0 \end{equation*} under some suitable assumptions on the function and the variable exponent .
Cite
@article{arxiv.1507.08089,
title = {Restricted boundedness of translation operators on variable Lebesgue spaces},
author = {Douadi Drihem},
journal= {arXiv preprint arXiv:1507.08089},
year = {2020}
}