Weighted Hardy-Littlewood average operators on bilateral grand Lebesgue spaces
Functional Analysis
2013-09-03 v1
Abstract
We obtain in this short article the non-asymptotic exact estimations for the norm of (generalized) weighted Hardy-Littlewood average integral operator in the so-called Bilateral Grand Lebesgue Spaces. We also give examples to show the sharpness of these inequalities.
Keywords
Cite
@article{arxiv.1309.0131,
title = {Weighted Hardy-Littlewood average operators on bilateral grand Lebesgue spaces},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1309.0131},
year = {2013}
}