2017
Том 69
№ 9

All Issues

Two-Weight Criteria for the Multidimensional Hardy-Type Operator in $p$-Convex Banach Function Spaces and Some Applications

Bandaliyev R. A.


Abstract

The main aim of the paper is to prove a two-weight criterion for the multidimensional Hardy-type operator from weighted Lebesgue spaces into p-convex weighted Banach function spaces. The problem for the dual operator is also considered. As an application, we prove a two-weight criterion of boundedness of the multidimensional geometric mean operator from weighted Lebesgue spaces into weighted Musielak–Orlicz spaces.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 3, pp 357-371.

Citation Example: Bandaliyev R. A. Two-Weight Criteria for the Multidimensional Hardy-Type Operator in $p$-Convex Banach Function Spaces and Some Applications // Ukr. Mat. Zh. - 2015. - 67, № 3. - pp. 313-325.