离散加权莫雷空间上的哈代-利特尔伍德最大算子

IF 0.6 3区数学 Q3 MATHEMATICS Acta Mathematica Hungarica Pub Date : 2024-04-22 DOI:10.1007/s10474-024-01420-3

X. B. Hao, B. D. Li, S. Yang

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引用次数: 0

摘要

我们引入了离散版的加权莫雷空间，并讨论了这些空间的包含关系。此外，我们通过建立加权（l^1\）序列的离散卡尔德龙-齐格蒙特分解，得到了离散加权勒贝格空间上离散加权哈代-利特尔伍德最大算子的有界性。此外，还讨论了离散加权莫雷空间上离散哈代-利特尔伍德最大算子有界性的必要条件和充分条件。特别是，还讨论了离散幂权的必要条件和充分条件。

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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 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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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.