Weighted Estimates for Multilinear Pseudodifferential Operators

论文作者:Kang Wei LI;Wen Chang SUN;
作者单位:School of Mathematical Sciences and LPMC,Nankai University
期刊名称:《Acta Mathematica Sinica(English Series)》
依托项目: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);
论文摘要: 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.