Two-weight weak type maximal inequalities in Orlicz classes
Pick, Luboš
Studia Mathematica, Tome 100 (1991), p. 207-218 / Harvested from The Polish Digital Mathematics Library
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Necessary and sufficient conditions are shown in order that the inequalities of the form ϱ(Mμf>λ)Φ(λ)≤CʃXΨ(C|f(x)|)σ(x)dμ, or ϱ(Mμf>λ)≤CʃXΦ(Cλ-1|f(x)|)σ(x)dμ 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, Mμ is the maximal operator with respect to μ, Φ, Ψ are arbitrary Young functions, and ϱ, σ are weights, not necessarily doubling.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:215883 
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     title = {Two-weight weak type maximal inequalities in Orlicz classes},
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     year = {1991},
     pages = {207-218},
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Pick, Luboš. Two-weight weak type maximal inequalities in Orlicz classes. Studia Mathematica, Tome 100 (1991) pp. 207-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv100i3p207bwm/

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