Weighted Estimates for Multilinear Pseudodifferential Operators  

作　　者：Kang Wei LI Wen Chang SUN 

机构地区：[1]School of Mathematical Sciences and LPMC,Nankai University

出　　处：《Acta Mathematica Sinica,English Series》2014年第8期1281-1288,共8页数学学报（英文版）

基　　金：Supported partially by the National Natural Science Foundation of China(Grant No.11371200);the Research Fund for the Doctoral Program of Higher Education(Grant No.20120031110023)

摘　　要：In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical Ap weights to multiple weights.In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical Ap weights to multiple weights.

关 键 词：Multiple weights nmltilinear pseudodifferential operators 

分 类 号：O174[理学—数学]