The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane
Hiroki Saito, Hitoshi Tanaka
TL;DR
This paper establishes Fefferman-Stein type inequalities for strong and directional maximal operators in the plane, expanding understanding of their boundedness properties using compositions of Hardy-Littlewood maximal operators.
Contribution
It proves new inequalities for strong and directional maximal operators in the plane, linking them with Hardy-Littlewood maximal operators.
Findings
Fefferman-Stein inequalities verified for strong maximal operator
Fefferman-Stein inequalities verified for directional maximal operator
Results extend maximal operator theory in the plane
Abstract
The Fefferman-Stein type inequalities for strong maximal operator and directional maximal operator are verified with composition of the Hardy-Littlewood maximal operator in the plane.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Differential Equations and Boundary Problems