若干粗糙算子的加权估计及其在向量值不等式上的应用

Pub Date : 2021-01-01 DOI:10.4134/JKMS.J200450

Feng Liu, Qingying Xue

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引用次数: 1

摘要

。在核上一定的弱尺度条件下，给出了奇异积分算子、相关极大算子、极大截断奇异积分算子和Marcinkiewicz积分算子在非各向同性环境下的一些加权范数不等式。这些加权范数不等式将使我们能够得到上述算子的一些向量值不等式。

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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WEIGHTED ESTIMATES FOR CERTAIN ROUGH OPERATORS WITH APPLICATIONS TO VECTOR VALUED INEQUALITIES

. Under certain rather weak size conditions assumed on the kernels, some weighted norm inequalities for singular integral operators, related maximal operators, maximal truncated singular integral operators and Marcinkiewicz integral operators in nonisotropic setting will be shown. These weighted norm inequalities will enable us to obtain some vector valued inequalities for the above operators.

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