Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (2): 249-256.

Previous Articles     Next Articles

Composition of Maximal Operators on Space of Homogeneous Type

  

  1. 1. Department of Mathematics and Physics, Henan Institute of Engineering(Zhengzhou)2. Department of Applied Mathematics, University of Information Engineering(Zhengzhou)
  • Received:2007-08-08 Online:2010-06-30 Published:2023-06-05
  • About author:YUAN Xin-feng(1962-), female, native of Zhengzhou, Henan, an associate professor of Henan Institute of Engineering, engages in applied mathematics; ZHANG Hao(1984-), male, native of Zhengzhou,Henan, a student of University of Information Engineering, M.S.D., engages in applied mathematics.
  • Supported by:
     Supported by the NSF from the Education Department of Henan Province(2007110006);

Abstract: Let Φ be a Young function and MΦ be the maximal operator associated with Φ in the space of homogeneous type. In this paper, the composition of the maximal operators of type MΦ is considered, and the result established by Carrozza and Passarelli Di Napoli[2] is generalized to the space of homogeneous type.

Key words: maximal operator, space of homogeneous type, Young function, Calderon-Zygmund decomposition

CLC Number: