| SINGULAR INTEGRAL OPERATORS IN L~2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS |
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| 作者姓名： | 龚亚方 杜金元 |
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| 作者单位： | Gong Yafang Du JinyuanDepartment of Mathematics，Wuhan University，Wuhan 430072，China |
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| 基金项目： | Supported by the Foundation of TY of China（10126028） |
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| 摘 要： | 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.
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SINGULAR INTEGRAL OPERATORS IN L2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS |
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| Gong Yafang,Du Jinyuan.SINGULAR INTEGRAL OPERATORS IN L~2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS[J].Acta Mathematica Scientia,2002,22(4). |
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| Authors: | Gong Yafang Du Jinyuan |
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| Institution: | Gong Yafang Du JinyuanDepartment of Mathematics,Wuhan University,Wuhan 430072,China |
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| 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. |
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| Keywords: | Singular integral operator generalized Jacobi weight index |
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