Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 484-488.

• Articles • Previous Articles     Next Articles

SINGULAR INTEGRAL OPERATORS IN L2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS

 GONG Ya-Fang, DU Jin-Yuan   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China
  • Online:2002-10-14 Published:2002-10-14
  • Supported by:

    Supported by the Foundation of TY of China (10126028)

Abstract:

In this paper, a kind of new definitions of singular integral operators in the weighted L2 space with the generalized Jacobi weights are given, then the boundedness in the weighted L2 space, the relationships between these operators and the classic singular integral operators are proved. For the convenience in the later use, similar results in the L2 space with Jacobi weights are given.

Key words: Singular integral operator, generalized Jacobi weight, index

CLC Number: 

  • 47G10
Trendmd