Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (2): 172-181.

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Boundedness of Linear Commutators on Herz-Morrey Spaces on Spaces of Homogeneous Type

  

  1. 1. College of Mathematics and System Science, Xinjiang University2. College of Mathematics and Information Science, Neijiang Normal University
  • Received:2006-07-02 Online:2010-06-30 Published:2023-05-31
  • About author:GAO Wen-hua(1974-), male, native of Jiaozhou, Shandong, an associate professor of Xinjiang University, Ph.D., engages in harmonic analysis and its applications; JIANG Yin-sheng(1949-), male, native of Urumqi, Xinjiang, a professor of Xinjiang University, M.S.D., engages in harmonic analysis.
  • Supported by:
     Supported by Natural Science Foundation of Xinjiang University; Supported by Research Starting Foundation for Doctors of Xinjiang University(BS090102); Supported by the NNSF of China(10861010);

Abstract: Under certain weak local size conditions, the boundedness of linear commutators on Herz-Morrey spaces on spaces of homogeneous type are studied. In addition, the boundedness of Hardy-Littlewood maximum commutators on Herz-Morrey spaces on spaces of homogeneous type are obtained.

Key words: homogeneous spaces, Herz spaces, commutators, Hardy-Littlewood maximum
function

CLC Number: