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

数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (4): 484-488.

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

龚亚方, 杜金元

Department of Mathematics, Wuhan University, Wuhan 430072, China

出版日期:2002-10-14 发布日期:2002-10-14
基金资助:
Supported by the Foundation of TY of China (10126028)

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

GONG Ya-Fang, DU Jin-Yuan

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)

摘要/Abstract

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.

关键词: Singular integral operator, generalized Jacobi weight, index

Abstract:

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

中图分类号:

47G10

龚亚方, 杜金元. SINGULAR INTEGRAL OPERATORS IN L2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS[J]. 数学物理学报(英文版), 2002, 22(4): 484-488.

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.

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

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

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