Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 764-772.

• Articles • Previous Articles     Next Articles

A Two-weight Norm Inequality for Singular Integral Operators with Non-smooth Kernel on Spaces of Homogeneous Type

  

  1. (Department of Applied Mathematics, University of Information Engineering, Zhengzhou 450002)
  • Received:2007-12-16 Revised:2008-12-13 Online:2009-06-25 Published:2009-06-25

Abstract:

In this paper, a two-weight weak type norm inequality for singular integral operators with non-smooth kernel is established on spaces of homogeneous type. The authors prove that the operators in question are bounded from Lp(X, v) to Lq( X, u) with 1< p ≤  q <∞, provided that the pair of weights (u, v) verifies an Ap-type condition with an '`Orlicz-bump'' on the weight u.

Key words: Spaces of homogeneous type, Norm inequality, Singular integral operator, Non-smooth kernel

CLC Number: 

  • 42B20
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