The Fefferman-Stein type inequality for strong maximal operator in the heigher dimensions
Hitoshi Tanaka
TL;DR
This paper establishes a Fefferman-Stein type inequality for the strong maximal operator in higher dimensions and provides an elementary proof for its endpoint estimate, advancing understanding of maximal operators.
Contribution
It introduces a new Fefferman-Stein type inequality for the strong maximal operator in higher dimensions and offers a simplified proof for the endpoint estimate.
Findings
Verified Fefferman-Stein type inequality in higher dimensions
Provided an elementary proof for the endpoint estimate
Enhanced understanding of strong maximal operator behavior
Abstract
The Fefferman-Stein type inequality for strong maximal operator is verified with compositions of some maximal operators in the heigher dimensions. An elementary proof of the endpoint estimate for the strong maximal operator is also given.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Nonlinear Partial Differential Equations · Mathematical Analysis and Transform Methods