Weak bounds for the maximal function in weighted Orlicz spaces
Richard Bagby (1990)
Studia Mathematica
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Richard Bagby (1990)
Studia Mathematica
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S. Bloom, R. Kerman (1994)
Studia Mathematica
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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 . Such a growth condition is shown to be necessary for any weighted integral inequality to occur. Weak-type conditions are also investigated.
Qinsheng Lai (1995)
Studia Mathematica
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Luboš Pick (1991)
Studia Mathematica
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Necessary and sufficient conditions are shown in order that the inequalities of the form , or hold with some positive C independent of λ > 0 and a μ-measurable function f, where (X,μ) is a space with a complete doubling measure μ, is the maximal operator with respect to μ, Φ, Ψ are arbitrary Young functions, and ϱ, σ are weights, not necessarily doubling.
Kokilashvili, Vakhtang
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