Maximal functions and measures on the upper-half plane
Beno\^it F. Sehba
TL;DR
This paper investigates the boundedness of maximal functions on the upper-half plane using Orlicz functions, providing conditions for their weighted boundedness, which advances understanding in harmonic analysis and maximal function theory.
Contribution
It introduces new sufficient conditions for the weighted boundedness of Hardy-Littlewood maximal functions on the upper-half plane involving Orlicz functions.
Findings
Established weighted boundedness criteria for maximal functions with Orlicz weights
Derived sufficient conditions for the boundedness of maximal functions on the upper-half plane
Enhanced theoretical understanding of maximal functions in harmonic analysis
Abstract
We study weighted boundedness of Hardy-Littlewood-type maximal function involving Orlicz functions. We also obtain some sufficient conditions for the weighted boundedness of the Hardy-Littlewood maximal function of the upper-half plane.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Advanced Banach Space Theory