JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (6): 108-115.doi: 10.6040/j.issn.1671-9352.0.2022.625

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Weighted estimates of fractional maximal operator and its commutator on Morrey spaces

Zhanhong LIU(),Shuangping TAO*()   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2022-11-28 Online:2024-06-20 Published:2024-06-17
  • Contact: Shuangping TAO E-mail:liuzhanhong1021@163.com;taosp@nwnu.edu.cn

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Abstract:

By applying the weighted inequality and the real variable methods of harmonic analysis, the boundedness of the fractional maximal operator with rough kernel is proved on the weighted Morrey space. Meanwhile, the weighted boundedness of its commutator generated by BMO function is also obtained.

Key words: weighted Morrey space, fractional maximal operator, commutator, BMO function

CLC Number: 

  • O174.2
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