On the mixed radial-angular integrability of Littlewood-Paley functions
Bull. Korean Math. Soc. Published online September 3, 2020
Xiao Zhang
Shandong University of Science and Technology
Abstract : 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.
