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

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

    R. A. Bandaliev

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 3, pp. 313–325, March, 2015.

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Bandaliev, R.A. Two-Weight Criteria for the Multidimensional Hardy-Type Operator in p-Convex Banach Function Spaces and Some Applications. Ukr Math J 67, 357–371 (2015). https://doi.org/10.1007/s11253-015-1085-1

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  • DOI: https://doi.org/10.1007/s11253-015-1085-1

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