On a two-weight criteria for multidimensional Hardy type operator in $p$-convex Banach function spaces and some application
Functional Analysis
2012-12-10 v1
Abstract
The main goal of this paper is to prove a two-weight criteria for multidimensio-nal Hardy type operator from weighted Lebesgue spaces into -convex weighted Banach function spaces. Analogously problem for the dual operator is considered. As application we prove a two-weight criteria for boundedness of multidimensional geometric mean operator and sufficient condition on the weights for boundedness of certain sublinear operator from weighted Lebesgue spaces into weighted Musielak-Orlicz spaces.
Keywords
Cite
@article{arxiv.1212.1697,
title = {On a two-weight criteria for multidimensional Hardy type operator in $p$-convex Banach function spaces and some application},
author = {Rovshan A. Bandaliev},
journal= {arXiv preprint arXiv:1212.1697},
year = {2012}
}