Weighted Lacunary Maximal Functions on Curves

Bak, Jong-Guk

Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 271-277

Résumé

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.

Détail

DOI : 10.4153/CMB-1995-040-3

Mots-clés : 42B25

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