互补局部morrey型空间上Hausdorff算子的尖锐估计

IF 0.9 3区数学 Q2 MATHEMATICS, APPLIED

Bulletin des Sciences Mathematiques Pub Date : 2025-03-13 DOI:10.1016/j.bulsci.2025.103614

Mingquan Wei , Xiaoyu Liu , Dunyan Yan

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引用次数: 0

摘要

本文建立了若干线性和多线性Hausdorff算子有界性的充分必要条件，并给出了相应的尖锐常数。我们的主要结果可以应用于一些具体的算子，如Hardy算子及其伴随算子、加权Hardy - littlewood平均、多线性Hardy算子等。

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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Sharp estimates for Hausdorff operators on complementary local Morrey-type spaces

In this paper, some necessary and sufficient conditions for the boundedness of some linear and multilinear Hausdorff operators are established and the corresponding sharp constants are also given. Our main results can apply to some concrete operators, such as the Hardy operator and its adjoint operator, the weighted Hardy–Littlewood average, the multilinear Hardy operator and so on.

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