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Weighted Lacunary Maximal Functions on Curves
Published online by Cambridge University Press: 20 November 2018
Abstract
Let γ(t) = (t, t2,..., tn) + a be a curve in Rn, where n ≥ 2 and a ∊ Rn. We prove LP-Lq estimates for the weighted lacunary maximal function, related to this curve, defined by
If n = 2 or 3 our results are (nearly) sharp.
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- Copyright © Canadian Mathematical Society 1995