Weighted Estimates for Multilinear Pseudodifferential Operators

被引：6

作者：

Li, Kang Wei

Sun, Wen Chang ^{[1
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Multiple weights; multilinear pseudodifferential operators; SINGULAR-INTEGRALS; NORM INEQUALITIES; COMMUTATORS;

D O I：

10.1007/s10114-014-3027-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 A(p) weights to multiple weights.

引用

页码：1281 / 1288

页数：8

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