分数极大函数对易子的bloom型估计

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2025-03-12 DOI:10.1007/s00013-025-02111-3

Jie Sun, Jianglong Wu, Pu Zhang

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引用次数: 0

摘要

设\(0<\alpha <n\)和\(M_{\alpha }\)为分数极大函数。对于一个局部可积函数b，我们用\(M_{\alpha ,b}\)和\([b,M_{\alpha }]\)表示了\(M_{\alpha }\)与b的最大对易子和对易子。本文考虑了\(M_{\alpha ,b}\)和\([b,M_{\alpha }]\)的bloom型估计。给出了表征布卢姆型双权范数不等式的几个充分必要条件。

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On Bloom-type estimates for commutators of the fractional maximal function

Let \(0<\alpha <n\) and \(M_{\alpha }\) be the fractional maximal function. For a locally integrable function b, we denote by \(M_{\alpha ,b}\) and \([b,M_{\alpha }]\) the maximal commutator and the commutator of \(M_{\alpha }\) with b. In this paper, we consider Bloom-type estimates for \(M_{\alpha ,b}\) and \([b,M_{\alpha }]\). Some necessary and sufficient conditions to characterize the Bloom-type two-weight norm inequalities are given.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.