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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (7): 22-31.doi: 10.6040/j.issn.1671-9352.0.2019.886

• • 上一篇    

广义齐型Orlicz-Morrey 空间上分数次极大算子的有界性

刘铭,陶双平*   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2020-07-08
  • 作者简介:刘铭(1994— ), 男, 硕士研究生, 研究方向为调和分析. E-mail:lm751761096@163.com*通信作者简介:陶双平(1964— ), 男, 教授, 博士生导师, 研究方向为调和分析及其在色散方程中应用. E-mail: taosp@nwnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11561062)

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

摘要: 利用极大算子的估计及齐型空间的性质, 得到了分数次极大算子及交换子在广义齐型Orlicz-Morrey空间上有界的充分条件和必要条件。同时在广义齐型弱Orlicz-Morrey空间上也给出了相应的结果。

关键词: 广义Orlicz-Morrey 空间, 分数次极大算子, 齐型空间

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

中图分类号: 

  • O174.2
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[1] 陶双平,杨雨荷. 分数次极大算子及交换子在λ-中心Morrey空间上的加权估计[J]. 《山东大学学报(理学版)》, 2019, 54(8): 68-75.
[2] 陶双平,高荣. 多线性分数次积分和极大算子在Morrey空间上的加权估计[J]. 山东大学学报(理学版), 2018, 53(6): 30-37.
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