Potential Analysis

, Volume 31, Issue 2, pp 117–131 | Cite as

Two-weight Inequalities for Commutators of Potential Operators on Spaces of Homogeneous Type

  • Wenming Li
  • Xuefang Yan
  • Xiaowu Yu


We derive the two-weight inequalities for the commutators of potential integral operators in the context of spaces of homogeneous type. The conditions required of the weights involve the Orlicz bumps. As a consequence, we obtain the norm estimates for these commutators for arbitrary weights.


Commutator Potential operator BMO Two-weight inequality Spaces of homogeneous type 

Mathematics Subject Classifications (2000)

42B25 44A15 


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceHebei Normal UniversityShijiazhuangPeople’s Republic of China

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