一个多线性振荡奇异积分的变形#函数估计(英文)  

Variant Sharp Function of a Multilinear Oscillatory Integral Operator

作　　者：谌稳固[1] 陆善镇[2] 

机构地区：[1]首都师范大学数学系,北京中国100037 [2]北京师范大学数学系,北京中国100875

出　　处：《数学进展》2003年第6期665-676,共12页Advances in Mathematics（China）

基　　金：The work was done when the first author visited Beijing Normal University and partly supported by National Natural Science Foundations(No.19970128,No.19901021);Natural Science Foundations of Beijing(No.1982005,No.1013006);a program for Returned Ove

摘　　要：本文得到了一个多线性振荡奇异积分的变形＃函数估计。作为一个推论,得到这个多线性振荡奇异积分的(L^p,L^r)有界性质。The main purpose of this paper is to establish an estimate on the sharp function of a multilinear oscillatory integral operator. As a consequence, some boundedness property of the operator is obtained.

关 键 词：多线性振荡奇异积分 变形#函数估计 多线性算子 有界性 

分 类 号：O175.5[理学—数学]