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Bull. Korean Math. Soc. 2021; 58(2): 403-417
Online first article September 3, 2020 Printed March 31, 2021
https://doi.org/10.4134/BKMS.b200318
Copyright © The Korean Mathematical Society.
On the mixed radial-angular integrability of Littlewood-Paley functions
Xiao Zhang
Shandong University of Science and Technology
This note is devoted to establishing the boundedness for some classes of Littlewood-Paley square operators defined by the kernels without any regularity on the mixed radial-angular spaces. The corresponding vector-valued versions are also presented. As applications, the corresponding results for the Littlewood-Paley $g_{\lambda}^{*}$ function and the Littlewood-Paley function related to the area integrals are also obtained.
Keywords: Littlewood-Paley function, weighted norm inequality, mixed radial-angular space
MSC numbers: Primary 42B25, 42B20
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