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高维 Hardy–Littlewood 极大函数：连续与离散视角

经典分析与常微分方程 2019-11-05 v2 泛函分析

作者: Jean Bourgain , Mariusz Mirek , Elias M. Stein , Błażej Wróbel

在 arXiv 上查看 ↗ PDF ↗

摘要

这是一篇关于与 $\mathbb R^d$ 和 $\mathbb Z^d$ 中凸对称体相关联的 Hardy–Littlewood 平均算子所对应的极大函数的无维估计最新进展的综述文章。

关键词

Hardy–Littlewood 极大函数无维估计凸对称体平均算子综述高维

引用

@article{arxiv.1812.00153,
  title  = {On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective},
  author = {Jean Bourgain and Mariusz Mirek and Elias M. Stein and Błażej Wróbel},
  journal= {arXiv preprint arXiv:1812.00153},
  year   = {2019}
}

备注

24 pages, no figures. Dedicated to Fulvio Ricci on the occasion of his 70th birthday. Revised following the referee report