一类多线性振荡奇异积分算子的有界性

ON A CLASS OF MULTILINEAR OSCILLATORY SINGULAR INTEGRAL OPERATORS

考虑了一类多线性振荡奇异积分算子并获得了其在一维 Lebesgue空间 Lp(R) (1<p<∞ )的有界性 .并通过迭代方法 ,将这种有界性推广到高维的 L ebesgue空间 Lp (Rn) (1<p<∞ )

A class of multilinear oscillatory singular integral operators is studied and their boundedness on Lebesgue spaces L p(R)(1<p<∞) is obtained. And using iterative methods, we can extend this boundedness to higher dimensional Lebesgue spaces L p(R n) (1< p<∞) is extended.