Spherical square functions of Marcinkiewicz type with Riesz potentials

被引：0
|
作者：
Shuichi Sato
机构：
[1] Kanazawa University,Department of Mathematics, Faculty of Education
来源：
Archiv der Mathematik | 2017年 / 108卷
关键词：
Littlewood–Paley function; Marcinkiewicz function; Sobolev space; Primary 42B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a pointwise equivalence between a spherical square function composed with the Riesz potential and a Littlewood–Paley function arising from the Bochner–Riesz operators. Also, its application to the theory of Sobolev spaces will be given.
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页码：415 / 426
页数：11
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