Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (5): 1015-1022.

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Weighted Estimation of Marcinkiewicz Integral on Mixed Morrey Spaces

WANG Jing, TAO Shuangping   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2021-11-16 Online:2022-09-26 Published:2022-09-26

Abstract: By using the estimation of A(p,q) and Ap and the function decomposition method, and with the aid of to the weighted estimation on the Lp spaces, we proved the weighted boundedness of the Riesz potential and Marcinkiewicz integral on mixed Morrey spaces, and obtained the weighted boundedness of BMO commutators of Marcinkiewicz integral.

Key words: Marcinkiewicz integral, commutator, mixed Morrey space, weighted boundedness

CLC Number: 

  • O174.2