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Weighted Maximal Inequalities for ℓr- Valued Functions
Published online by Cambridge University Press: 20 November 2018
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C. Feffermann and E. M. Stein [2] have shown that the continuity property of the Hardy-Littlewood maximal functions between Lp-spaces, 1 < p < ∞, extends to ℓr-valued functions on ℝn. Specifically, if f = (f1, f2,…) is a sequence of functions defined on Rn, let for l<∞, |f(x)|r be given by
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- Copyright © Canadian Mathematical Society 1976
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