Almost everywhere convergence of sequences of multiplier operators on local fields

被引：0

作者：

Shijun Zheng

Weixing Zheng

机构：

[1] Nanjing University,Department of Mathematics

来源：

Science in China Series A: Mathematics | 1997年 / 40卷

关键词：

multiplier; Calderón-Zygmund singular integrals; Bochner-Riesz means; local fields;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

LetKn be then-dimensional vector space over a local fieldK. Two maximal multiplier theorems onLp(Kn) are proved for certain multiplier operator sequences associated with regularization and dilation respectively. Consequently the a. e. convergence of such multiplier operator sequences is obtained. This sharpens Taibleson’s main result and applies to several important singular integral operators onKn.

引用

页码：10 / 23

页数：13

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