JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (2): 16-22.doi: 10.6040/j.issn.1671-9352.0.2019.353

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Boundedness for commutator of multilinear Hardy-Littlewood maximal operator

WANG Min, FANG Xiao-zhen, QU Meng, SHU Li-sheng   

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, Anhui, China
  • Published:2020-02-14

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Abstract: By using the method of intermediate value and the properties of binary cubes, the mapping property from Lp1(Rn)×Lp2(Rn)×…×Lpm(Rn)to Lq(Rn)of the commutator Mbj(j=1,2,…,m) generated by local integrable function bj and multilinear Hardy-Littlewood maximal operator M is obtained.

Key words: multilinear Hardy-Littlewood maximal operator, commutator, average oscillation function space, Lipschiz function space

CLC Number: 

  • O174.2
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