Littlewood-Paley functions and Sobolev spaces

被引：1

作者：

Chen, Jiecheng ^{[1
]}

Fan, Dashan ^{[1
,2
]}

Zhao, Fayou ^{[3
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321000, Peoples R China

[2] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 59201 USA

[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 184卷

基金：

中国国家自然科学基金;

关键词：

Littlewood-Paley square functions; Sobolev spaces; Spherical average; Ball average; Bochner-Riesz means; AVERAGES;

D O I：

10.1016/j.na.2019.02.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish Littlewood-Paley characterizations of the Sobolev spaces W-alpha,W-p in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：273 / 297

页数：25

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