Contents Online
Mathematical Research Letters
Volume 14 (2007)
Number 2
Weak type (1,1) estimates for a class of discrete rough maximal functions
Pages: 227 – 237
DOI: https://dx.doi.org/10.4310/MRL.2007.v14.n2.a6
Authors
Abstract
We prove weak type $(1,1)$ estimate for the maximal function associated with the sequence $[m^\alpha],$ $1<\alpha <1+\frac{1}{1000}$. As a consequence, the sequence $[m^\alpha]$ is universally $L^1$-good.
Published 1 January 2007