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Weighted Lacunary Maximal Functions on Curves

Published online by Cambridge University Press:  20 November 2018

Jong-Guk Bak
Jong-Guk Bak*
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306, U.S.A. e-mail:bak@math.fsu.edu
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Abstract

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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.

Keywords

42B25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 271 - 277
Copyright
Copyright © Canadian Mathematical Society 1995

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