Two-weight weak type maximal inequalities in Orlicz classes
Luboš Pick (1991)
Studia Mathematica
Similarity:
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.