The Hardy–Littlewood maximal operator on discrete weighted Morrey spaces

The Hardy–Littlewood maximal operator on discrete weighted Morrey spaces

We introduce a discrete version of weighted Morrey spaces, and discuss the inclusion relations of these spaces. In addition, we obtain the boundedness of discrete weighted Hardy-Littlewood maximal operators on discrete weighted Lebesgue spaces by establishing a discrete Calderón-Zygmund decompositio...

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Veröffentlicht in:Acta mathematica Hungarica 2024-04, Vol.172 (2), p.445-469
Hauptverfasser: Hao, X. B., Li, B. D., Yang, S.
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description We introduce a discrete version of weighted Morrey spaces, and discuss the inclusion relations of these spaces. In addition, we obtain the boundedness of discrete weighted Hardy-Littlewood maximal operators on discrete weighted Lebesgue spaces by establishing a discrete Calderón-Zygmund decomposition for weighted l 1 -sequences. Furthermore, the necessary and sufficient conditions for the boundedness of the discrete Hardy-Littlewood maximal operators on discrete weighted Morrey spaces are discussed. Particularly, the necessary and sufficient conditions are also discussed for the discrete power weights.
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Operators
title The Hardy–Littlewood maximal operator on discrete weighted Morrey spaces
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