SINGULAR INTEGRAL OPERATORS IN L^2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS  

作　　者：龚亚方 杜金元 

出　　处：《Acta Mathematica Scientia》2002年第4期484-488,共5页数学物理学报（B辑英文版）

基　　金：Supported by the Foundation of TY of China(10126028)

摘　　要：In this paper, a kind of new definitions of singular integral operators in the weighted L-2 space with the generalized Jacobi weights are given, then the boundedness in the weighted L-2 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 L-2 space with Jacobi weights are given.In this paper, a kind of new definitions of singular integral operators in the weighted L-2 space with the generalized Jacobi weights are given, then the boundedness in the weighted L-2 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 L-2 space with Jacobi weights are given.

关 键 词：singular integral operator generalized Jacobi weight index 

分 类 号：O177[理学—数学]