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arXiv · 2210.02652

Limiting weak type behaviors of maximal operator on the positive real axis

Wu-yi Pan·Sheng-jian Li
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Abstract

In this note, we establish a discrete method to characterize the limiting weak type behaviors of the centered Hardy-Littlewood maximal operator on the positive real axis through testing on Dirac deltas. As an application, we give some new examples of the limiting weak-type behaviors of the maximal operator associated with several special measures.

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Wu-yi Pan, Sheng-jian Li. 2022-10-06. Limiting weak type behaviors of maximal operator on the positive real axis. https://arxiv.org/abs/2210.02652

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