Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (4): 719-724.

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Boundedness of Oscillation and Variation Operators for Multilinear Singular Integrals on Weighted Morrey Spaces

ZHU Min, TAO Shuangping   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2020-11-27 Online:2021-07-26 Published:2021-07-26

Abstract: By means of the estimation on Lp space, and by using Ap weight inequality and function decomposition method, we gave the bounde
dness of the oscillation and variation operators for the commutators of the multilinear singlar integrals with bounded mean oscillation (BMO) functions on the weighted Morrey spaces.

Key words: weighted Morrey space, multilinear singular integral, oscillation operator, variation operator

CLC Number: 

  • O174.2