Chinese Annals of Mathematics, Series B

, Volume 40, Issue 4, pp 585–598 | Cite as

Boundedness of Commutators of θ-Type Calderón-Zygmund Operators on Non-homogeneous Metric Measure Spaces

  • Chol Ri
  • Zhenqiu ZhangEmail author


Let (X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hytönen. In this paper, the authors obtain the boundedness of the commutators of θ-type Calderón-Zygmund operators with RBMO functions from L (μ) into RBMO(μ) and from \(H_{{\rm{at}}}^{1,\;\infty }\left( \mu \right)\) into L1 (μ), respectively. As a consequence of these results, they establish the Lp (μ) boundedness of the commutators on the non-homogeneous metric spaces.


Non-homogeneous space θ-Type Calderón-Zygmund operator Commutator RBMO(μ) space \(H_{{\rm{at}}}^{1,\;\infty }\left( \mu \right)\) space 

2000 MR Subject Classification



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© The Editorial Office of CAM and Springer-Verlag Berlin Heidelberg 2019

Authors and Affiliations

  1. 1.Department of MathematicsKim Hyong Jik Normal UniversityPyongYangKorea
  2. 2.School of Mathematical Sciences and the Key Laboratory of Pure Mathematics and CombinatoricsNankai UniversityTianjinChina

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