对沿旋转曲面的单参数Marcinkiewicz积分算子进行了研究,在积分核满足较弱的尺寸条件下建立了该算子的L^p(2γ/(3-2α)γ-2〈p〈2γ/(2a-1)γ+2)有界性.
On the basis of Littlewood-Paley theory and Fourier transforms, this paper is devoted to study of a class of Marcinkiewicz integral operators associated with Surfaces of Revolution on R^n. Some rather weak size condi-tions, which imply the L^P-boundedness of these operators for some 2γ/(3-2α)γ-2〈2γ/(2α-1)γ+2are given.