Weak type $(1, 1)$ estimates for maximal functions along $1$-regular sequences of integers
نویسندگان
چکیده
We show the pointwise convergence of averages \[ \mathcal A _N f(x) = \frac {1}{\# {\bf B} _N} \sum _{n \in f(x + n) \] for $f \ell ^1(\mathbb Z )$ where ${\bf \cap [1, N]$, and $ is a $1$-regular sequence i
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2021
ISSN: ['0039-3223', '1730-6337']
DOI: https://doi.org/10.4064/sm200702-21-12