粗糙参数Marcinkiewicz函数的一个注记

IF 0.4 Q4 MATHEMATICS

Analysis in Theory and Applications Pub Date : 2020-06-01 DOI:10.4208/ata.oa-2017-0074

Laith Hawawsheh

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引用次数: 3

摘要

在本文中，我们得到了参数Marcinkiewicz积分算子的锐利Lp估计。我们的结果解决了一个长期存在的开放性问题。此外，我们还给出了一类参数Marcinkiewicz积分算子，当它们的核属于唯一空间L1 (Sn−1)时，它们是有界的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Note on Rough Parametric Marcinkiewicz Functions

In this note, we obtain sharp Lp estimates of parametric Marcinkiewicz integral operators. Our result resolves a long standing open problem. Also, we present a class of parametric Marcinkiewicz integral operators that are bounded provided that their kernels belong to the sole space L1 ( Sn−1 ) .

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来源期刊

Analysis in Theory and Applications

自引率

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发文量

747