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http://dx.doi.org/10.4134/JKMS.j200450

WEIGHTED ESTIMATES FOR CERTAIN ROUGH OPERATORS WITH APPLICATIONS TO VECTOR VALUED INEQUALITIES  

Liu, Feng (College of Mathematics and System Science Shandong University of Science and Technology)
Xue, Qingying (School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education)
Publication Information
Journal of the Korean Mathematical Society / v.58, no.4, 2021 , pp. 1035-1058 More about this Journal
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;
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