Weak type (1,1) estimates for a class of discrete rough maximal functions

Roman Urban, Jacek Zienkiewicz

Type: Article

Publication Date: 2007-01-01

Citations: 26

DOI: https://doi.org/10.4310/mrl.2007.v14.n2.a6

Abstract

We prove weak type (1, 1) estimate for the maximal function associated with the sequence [m α ], 1 < α < 1 + 1 1000 .As a consequence, the sequence [m α ] is universally L 1 -good.

Locations

Mathematical Research Letters - View - PDF

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