沿旋转曲面单参数Marcinkiewicz积分算子的L^p有界性  

L^p Boundedness of a Class of One-Paramter Marcinkiewicz Integral Operators Associated with Surfaces of Revolution

作　　者：马丽[1] 谢显华[1] 许绍元[1] 

机构地区：[1]赣南师范学院数学与计算机科学学院,江西赣州341000

出　　处：《江西师范大学学报（自然科学版）》2011年第4期362-365,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10961003)资助项目

摘　　要：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Lp((2γ/((3-2α)γ-2))<p<(2γ/((2α-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.

关 键 词：MARCINKIEWICZ积分 旋转曲面 粗糙核 LITTLEWOOD-PALEY理论 Fourier变换估计 

分 类 号：O177.6[理学—数学]