Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator
Volume 110 / 1994
Studia Mathematica 110 (1994), 149-167
DOI: 10.4064/sm-110-2-149-167
Abstract
Necessary and sufficient conditions are given for the Hardy-Littlewood maximal operator to be bounded on a weighted Orlicz space when the complementary Young function satisfies $Δ_2$. Such a growth condition is shown to be necessary for any weighted integral inequality to occur. Weak-type conditions are also investigated.
