Two-Weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Spaces

Details Two-Weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Spaces Two-Weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Spaces

2010-07-06

arxiv.org/abs/1007.0879v1

Mathematics

Functional Analysis

22 pages

Scientific paper

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.

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