论文标题
弱类型$（1，1）$ $ 1 $ 1 $等级序列的整数序列的估计值
Weak type $(1, 1)$ estimates for maximal functions along $1$-regular sequences of integers
论文作者
论文摘要
我们显示了平均值的点融合\ [\ Mathcal {a} _n f（x）= \ frac {1} {\＃\＃\＃\＃\ \＃\＃\＃\ \ sum_n} \ sum_ {n \ n \ \ ell^1（\ Mathbb {z}）$其中$ \ Mathbf {b} _n = \ MathBf {B} \ CAP [1，N] $和$ \ MATHBF {B {B} $是$ 1 $ 1 $的整数顺序n \ in \ mathbb {n} \} $。
We show the pointwise convergence of the averages \[ \mathcal{A}_N f(x) = \frac{1}{\# \mathbf{B}_N} \sum_{n \in \mathbf{B}_N} f(x + n) \] for $f \in \ell^1(\mathbb{Z})$ where $\mathbf{B}_N = \mathbf{B} \cap [1, N]$, and $\mathbf{B}$ is a $1$-regular sequence of integers, for example $\mathbf{B} = \{\lfloor n \log n \rfloor : n \in \mathbb{N}\}$.
