The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane
The Fefferman-Stein type inequalities
for strong maximal operator and directional maximal operator
are verified with an additional composition of the Hardy-Littlewood
maximal operator in the plane.
directional maximal operator, Fefferman-Stein type inequality, Hardy-Littlewood maximal operator, strong maximal operator
42B25 - Maximal functions, Littlewood-Paley theory
42B35 - Function spaces arising in harmonic analysis