JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (7): 22-31.doi: 10.6040/j.issn.1671-9352.0.2019.886

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Boundedness of fractional maximal operator on generalized Orlicz-Morrey spaces of homogeneous type

LIU Ming, TAO Shuang-ping*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-07-08

Abstract: By applying the estimates of the maximal operator and the properties about the spaces of homogeneous type, the necessary and sufficient conditions are given for the boundedness of the fractional maximal operator and its commutators on the generalized Orlicz-Morrey spaces of homogeneous type. The corresponding results are also given in the generalized weak Orlicz-Morrey spaces of homogeneous space.

Key words: generalized Orlicz-Morrey space, fractional maximal operator, space of homogeneous type

CLC Number: 

  • O174.2
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[1] TAO Shuang-ping, YANG Yu-he. Weighted estimates of fractional maximal operator and its commutator on weighted λ-central Morrey spaces [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(8): 68-75.
[2] TAO Shuang-ping, GAO Rong. Estimates of multilinear fractional integrals and maximal operators on weighted Morrey spaces [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(6): 30-37.
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