Bull. Korean Math. Soc. 2018; 55(2): 659-672
Online first article January 15, 2018 Printed March 30, 2018
https://doi.org/10.4134/BKMS.b170212
Copyright © The Korean Mathematical Society.
Feng Liu
Shandong University of Science and Technology
In this note we prove that several classes of Littlewood-Paley square operators defined by the kernels without any regularity are bounded on Triebel-Lizorkin spaces $F_\alpha^{p,q}(\mathbb{R}^n)$ and Besov spaces $B_\alpha^{p,q}(\mathbb{R}^n)$ for $0<\alpha<1$ and $1
Keywords: Littlewood-Paley function, Triebel-Lizorkin spaces, Besov spaces, extrapolation
MSC numbers: 42B20, 42B25
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