SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS

This paper defines a class of singular integral operators Iwj, on L spacelwhere wights wj(j = 1 - 4) are four kinds of Chebyshev weights. The authors prove that Iwj is an uaique linear extension of classic singular integral operator Iwj on Holder space,some important properties of Iwj and some results of singular integral equation in L2wj space.