J. Korean Math. Soc. 2021; 58(4): 1035-1058
Online first article November 27, 2020 Printed July 1, 2021
https://doi.org/10.4134/JKMS.j200450
Copyright © The Korean Mathematical Society.
Feng Liu, Qingying Xue
Shandong University of Science and Technology; Ministry of Education
Under certain rather weak size conditions assumed on the kernels, some weighted norm inequalities for singular integral operators, related maximal operators, maximal truncated singular integral operators and Marcinkiewicz integral operators in nonisotropic setting will be shown. These weighted norm inequalities will enable us to obtain some vector valued inequalities for the above operators.
Keywords: Nonisotropic singular integrals, Marcinkiewicz integrals, rough kernels, weighted norm inequalities, vector valued inequalities
MSC numbers: Primary 42B20, 42B25
Supported by: This work was financially supported by NNSF of China (Nos. 11701333, 11671039, 11871101) and NSFC-DFG (No. 11761131002).
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd