积域上沿多项式曲线的奇异积分算子的L^p有界性

L^p Boundedness of Singular Integrals along Polynomial Curve

利用Littlewood-Paley理论和Fourier变换估计方法,减弱了奇异积分算子积分核的尺寸条件,得到了该积分算子的Lp(1/(1-β)<p<1/β)有界性,从而推广了前人的结论.

By the theory of Littlewood-Paley and method of Fourier transform estimate,under some rather weaker size conditions for integral kernel of singular integral operator,the Lp boundedness of the operator was proved.So the conclusion of theory is extended.