一类极大算子在乘积域上的L^p有界性  

L^p Boundedness of a Class of Maximal Singular Integral Operators on Product Domains

作　　者：谢显华[1] 马丽[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：《赣南师范学院学报》2008年第3期31-33,共3页Journal of Gannan Teachers' College(Social Science(2))

摘　　要：研究了一类沿曲线积分的极大算子在乘积域上的Lp有界性,并得出了这类算子在乘积域上的Lp有界性的一些充分条件,证明了当Ф,ψ为多项式时,界与Ф,ψ无关.This paper is devoted to the study of the L^p boundedness for a class of maximal singular integral operators along the curve on product domains, and some sufficient conditions are concluded. It is also proved that the bound is not relative to Ф,ψ when Ф,ψ are polynomials.

关 键 词：奇异积分 乘积域 旋转表面 

分 类 号：O174.2[理学—数学]