局部域上的哈代和哈代-利特尔伍德-波利亚算子及其换元子

IF 0.6 3区数学 Q3 MATHEMATICS

Periodica Mathematica Hungarica Pub Date : 2024-06-03 DOI:10.1007/s10998-024-00589-y

Biswaranjan Behera

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引用次数: 0

摘要

我们介绍了局部场上的哈代和哈代-利特尔伍德-波利亚算子，并证明它们在带幂权的加权勒贝格空间上是有界的。此外，我们还计算了这些算子在这些空间上的精确规范。此外，我们还证明了这些算子所产生的换元的有界性，以及在赫兹空间，特别是在加权勒贝格空间上具有中心平均振荡的函数。

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Hardy and Hardy–Littlewood–Pólya operators and their commutators on local fields

We introduce the Hardy and Hardy–Littlewood–Pólya operators on local fields and show that they are bounded on weighted Lebesgue spaces with power weights. Moreover, we compute the precise norms of these operators on these spaces. Further, we prove the boundedness of the commutators generated by these operators and functions with central mean oscillation on Herz spaces, and in particular, on the weighted Lebesgue spaces.

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来源期刊

Periodica Mathematica Hungarica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Periodica Mathematica Hungarica is devoted to publishing research articles in all areas of pure and applied mathematics as well as theoretical computer science. To be published in the Periodica, a paper must be correct, new, and significant. Very strong submissions (upon the consent of the author) will be redirected to Acta Mathematica Hungarica. Periodica Mathematica Hungarica is the journal of the Hungarian Mathematical Society (János Bolyai Mathematical Society). The main profile of the journal is in pure mathematics, being open to applied mathematical papers with significant mathematical content.