Limiting Weak Type Estimate for Capacitary Maximal Function
Jie Xiao, Ning Zhang
TL;DR
This paper introduces a capacitary analogue of a classical weak type estimate for the Hardy-Littlewood maximal function, extending the theory to a new capacitary setting.
Contribution
It presents the first capacitary analogue of Janakiraman's limiting weak type estimate for the maximal function.
Findings
Established a capacitary weak type estimate for maximal functions.
Extended classical harmonic analysis results to capacitary frameworks.
Provided new tools for analysis involving capacities and maximal functions.
Abstract
A capacitary analogue of the limiting weak type estimate of P. Janakiraman for the Hardy-Littlewood maximal function of an L1-function is discovered.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Advanced Banach Space Theory