SINGULAR INTEGRAL OPERATORS IN L^2 SPACEWITH CHEBYSHEV WEIGHTS  

作　　者：龚亚方 杜金元 

出　　处：《Acta Mathematica Scientia》2000年第1期63-67,共5页数学物理学报（B辑英文版）

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.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.

关 键 词：singular integral operator Chebyshev weight 

分 类 号：O177[理学—数学]