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.
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页码：273 / 297
页数：25
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