ℓp(Zd)-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates
ℓp(Zd)-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates
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ℓp(Zd)-Radon 类型离散算子的估计：极大函数和向量值估计
DOI：
10.1016/j.jfa.2018.10.020
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发表时间：
2015
影响因子：
1.7
通讯作者：
B. Trojan
中科院分区：
文献类型：
--
作者：
Mariusz Mirek;E. Stein;B. Trojan
证明了对于p∈(1,∞)，对应于Radon型的平均算子和截断奇异积分的离散极大函数的ldp （zd）界，以及它们在点遍历理论中的应用。我们的新方法是基于对这两种类型的算子的统一分析，并且也产生了对这些结果的向量值形式的扩展。
We prove ℓ p (Z d) bounds, for p∈(1,∞), of discrete maximal functions corresponding to averaging operators and truncated singular integrals of Radon type, and their applications to pointwise ergodic theory. Our new approach is based on a unified analysis of both types of operators, and also yields an extension to the vector-valued form of these results.