JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 68-75.doi: 10.6040/j.issn.1671-9352.0.2018.718

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Weighted estimates of fractional maximal operator and its commutator on weighted λ-central Morrey spaces

TAO Shuang-ping, YANG Yu-he   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: By applying the weighted inequalities and the real variable methods, the boundedness of the fractional maximal operator with rough kernel is obtained in the weighted λ-central Morrey spaces. And also, the boundedness of its commutator generated by a λ-central mean oscillation function is proved.

Key words: weighted λ-central Morrey space, fractional maximal operator, commutator

CLC Number: 

  • O174.2
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[2] ZHAO Huan, ZHOU Jiang. Commutators of multilinear Calderón-Zygmund operator on Herz-type Hardy spaces with variable exponent [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 42-50.
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[5] YAO Jun-qing, ZHAO Kai. Commutators of fractional integrals on Herz-Morrey spaces with variable exponent [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(11): 100-105.
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[8] GOU Yin-xia, TAO Shuang-ping, DAI Hui-ping. Weighted estimates of fractional integral with rough kernel and its commutators on Herz-type Hardy Spaces [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(07): 80-87.
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[10] ZHAO Kai, JI Chun-jing, HUANG Zhi. Boundedness of the commutator of some Marcinkiewicz integral on Herz-type Hardy spaces [J]. J4, 2013, 48(6): 1-4.
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[13] ZHAO Kai, DONG Peng-juan, SHAO Shuai. Weighted boundedness of commutators of the fractional integral on λ-central Morrey spaces [J]. J4, 2011, 46(12): 88-92.
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