Weighted estimates for certain rough operators with applications to vector valued inequalities
J. Korean Math. Soc.
Published online November 27, 2020
Feng Liu and Qingying Xue
Shandong University of Science and Technology, Beijing Normal University
Abstract : 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 : 42B20; 42B25
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