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

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

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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.

Littlewood-Paley square functionsTriebel-Lizorkin spacesBesov spacesspherical averageball averageBochner-Riesz means

Dashan Fan、Fayou Zhao

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Department of Mathematical Sciences,University of Wisconsin-Milwaukee,Milwaukee,WI 53201,USA

Department of Mathematics,Shanghai University,Shanghai 200444,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Shanghai

11971295118711081187143619ZR1417600

2021

10.4208/ata.2021.lu80.01

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

CSCD
影响因子：0.111
ISSN：1672-4070
年,卷(期)：2021.37(3)
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