SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS

数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 63-67.

SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS

龚亚方, 杜金元

College of Mathematical Sciences, Wuhan University, Wuhan 430072, China

出版日期:2000-01-07 发布日期:2000-01-07
基金资助:
Supported by the National Committee of Science & Technology and the Funds of the State Education Commission of China

SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS

GONG Ya-Fang, DU Jin-Yuan

College of Mathematical Sciences, Wuhan University, Wuhan 430072, China

Online:2000-01-07 Published:2000-01-07
Supported by:
Supported by the National Committee of Science & Technology and the Funds of the State Education Commission of China

摘要/Abstract

摘要：

This paper defines a class of singular integral operators ˜Iwj on L2 wj space, where wights wj (j = 1 − 4) are four kinds of Chebyshev weights. The authors prove that ˜Iwj is an unique linear extension of classic singular integral operator Iwj on H¨older space,some important properties of ˜Iwj and some results of singular integral equation in L2 wjspace .

关键词: Singular integral operator, Chebyshev weight

Abstract:

Key words: Singular integral operator, Chebyshev weight

中图分类号:

47G10

龚亚方, 杜金元. SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS[J]. 数学物理学报(英文版), 2000, 20(1): 63-67.

GONG Ya-Fang, DU Jin-Yuan. SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS[J]. Acta mathematica scientia,Series B, 2000, 20(1): 63-67.

[1]	贺福利; 杜金元. AN OPERATORIAL APPROACH TO SINGULAR INTEGRAL EQUATIONS 0F A MODIFIED TYPE[J]. 数学物理学报(英文版), 2008, 28(4): 763-769.
[2]	杜志华; 杜金元. ON DIRECT METHOD OF SOLUTION FOR A CLASS OF SINGULAR INTEGRAL EQUATIONS[J]. 数学物理学报(英文版), 2007, 27(2): 301-307.
[3]	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.
[4]	杜金元. SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS[J]. 数学物理学报(英文版), 1998, 18(2): 227-240.

SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS

SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS

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