SINGULAR INTEGRAL OPERATORS IN L^2 SPACEWITH CHEBYSHEV WEIGHTS

作     者：龚亚方 杜金元 

作者机构：College of Mathematical Sciences Wuhan University Wuhan 430072 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2000年第20卷第1期

页      面：63-67页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：国家科技部项目 国家教育部项目 

主　　题：singular integral operator Chebyshev weight 

摘      要：This paper defines a class of singular integral operators (I) over tilde(wj) on L-wj(2) space, where wights w(j)(j = 1 - 4) are lour kinds of Chebyshev weights. The authors prove that (I) over tilde(wj) is an unique linear extension of classic singular integral operator I-wj on Holder space, some important properties of (I) over tilde(wj) and some results of singular integral equation in L-wj(2) space.