Abstract

This paper defines a class of singular integral operators I˜wj on Lwj2 space, where wights wj(j=1-4) are four kinds of Chebyshev weights. The authors prove that I˜wj is an unique linear extension of classic singular integral operator Iwj on Holder space, some important properties of I˜wj and some results of singular integral equation in Lwj2 space.

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