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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)
  • Received : 2020.08.06
  • Accepted : 2020.09.21
  • Published : 2021.07.01

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

Acknowledgement

This work was financially supported by NNSF of China (Nos. 11701333, 11671039, 11871101) and NSFC-DFG (No. 11761131002).

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