Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 347-357.

• Articles • Previous Articles     Next Articles

Boundedness of Multilinear Commutators Generated by Singular Integral Operators with Non-Smooth Kernel on Spaces of Homogeneous Type

 SUN Ai-Wen, WANG Yong-Yan, SHU Li-Sheng   

  1. College of Mathematics and Computer Science, Anhui Normal University, Anhui Wuhu 241003
  • Received:2012-10-13 Revised:2013-04-16 Online:2014-04-25 Published:2014-04-25
  • Supported by:

    国家自然科学基金(11301005, 11301006)和安徽省高校自然科学项目(KJ2012A133, KJ2012Z129) 资助.

Abstract:

In this paper, we main discuss the boundedness of multilinear commutators generated by singular integral operators with non-smooth kernel T and b(b\in {\rm Lip}_{\beta}) from Lp(X) to Fp, A, ∞(X).

Key words: Spaces of homogeneous type, Lipschitz spaces,  Fp, A, ∞(X) spaces, Multilinear commutators

CLC Number: 

  • 42B20
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