Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 484-488.
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GONG Ya-Fang, DU Jin-Yuan
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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:
GONG Ya-Fang, DU Jin-Yuan. SINGULAR INTEGRAL OPERATORS IN L2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS[J].Acta mathematica scientia,Series B, 2002, 22(4): 484-488.
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