Year: 2021
Author: Dashan Fan, Fayou Zhao
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 3 : pp. 267–288
Abstract
We establish Littlewood-Paley characterizations 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2021.lu80.01
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 3 : pp. 267–288
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Littlewood-Paley square functions Triebel-Lizorkin spaces Besov spaces spherical average ball average Bochner-Riesz means.
Author Details
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Boundedness of the Calderón Commutator with a Rough Kernel on Triebel-Lizorkin Spaces
Hu, Guoen
Liu, Jie
Acta Mathematica Scientia, Vol. 43 (2023), Iss. 4 P.1618
https://doi.org/10.1007/s10473-023-0411-1 [Citations: 0]