广义Radon测度的修正Hardy-Littlewood极大算子的一个弱型向量值不等式

Pub Date : 2020-01-01 DOI:10.1515/agms-2020-0113

Y. Sawano

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摘要

摘要本文的目的是证明广义Radon测度的修正Hardy–Littlewood极大算子的弱型向量值不等式ℝn。早些时候，得到了同一算子的强型向量值不等式和二元极大算子的弱型向量值定理。本文将通过证明弱型对应物来补充这些现有的结果。

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 Weak Type Vector-Valued Inequality for the Modified Hardy–Littlewood Maximal Operator for General Radon Measure on ℝn

Abstract The aim of this paper is to prove the weak type vector-valued inequality for the modified Hardy– Littlewood maximal operator for general Radon measure on ℝn. Earlier, the strong type vector-valued inequality for the same operator and the weak type vector-valued inequality for the dyadic maximal operator were obtained. This paper will supplement these existing results by proving a weak type counterpart.

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