Littlewood-Paley Functions and Triebel-Lizorkin Spaces,Besov Spaces  

作　　者：Dashan Fan Fayou Zhao 

机构地区：[1]Department of Mathematical Sciences,University of Wisconsin-Milzuaukee,Milwaukee,WI153201,USA [2]Department of Mathematics,Shanghai University,Shanghai 200444,China

出　　处：《Analysis in Theory and Applications》2021年第3期267-288,共22页分析理论与应用（英文刊）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11971295,11871108 and 11871436);Natural Science Foundation of Shanghai(No.19ZR1417600).

摘　　要：We establish Littlewood-Paley charaterizations of Triebel-Lizorkin spaces and Besov spaces 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.

关 键 词：Littlewood-Paley square functions Triebel-Lizorkin spaces Besov spaces spherical average ball average Bochner-Riesz means. 

分 类 号：O189.11[理学—数学]