Two-Weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Spaces
Functional Analysis
2010-07-07 v1
Abstract
Two-weight norm estimates for the double Hardy transforms and strong fractional maximal functions are established in variable exponent Lebesgue spaces. Derived conditions are simultaneously necessary and sufficient in the case when the exponent of the right-hand side space is constant.
Keywords
Cite
@article{arxiv.1007.0879,
title = {Two-Weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Spaces},
author = {Vakhtang Kokilashvili and Alexander Meskhi},
journal= {arXiv preprint arXiv:1007.0879},
year = {2010}
}
Comments
22 pages