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

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 o...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Wu-yi, Pan, Sheng-jian, Li
Format: Article
Language:English
Subjects:
Constraining
Online Access:Get full text
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Summary: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.
ISSN:2331-8422