LP ESTIMATES FOR MULTI-LINEAR AND MULTI-PARAMETER PSEUDO-DIFFERENTIAL OPERATORS

被引：28

作者：

Dai, Wei ^{[1
,2
]}

Lu, Guozhen ^{[3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Beihang Univ BUAA, Sch Math & Syst Sci, Beijing 100191, Peoples R China

[3] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2015年 / 143卷 / 03期

基金：

美国国家科学基金会;

关键词：

Multi-linear and multi-parameter pseudo-differential operators; One-parameter and multi-parameter paraproducts; L-P estimates; Coifman-Meyer theorem; SYMBOLIC-CALCULUS; SINGULAR-INTEGRALS; BILINEAR OPERATORS; PARAPRODUCTS; SPACES;

D O I：

10.24033/bsmf.2698

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the pseudo-differential variant of the LP estimates for multi-linear and multi-parameter Coifman-Meyer multiplier operators proved by C. Muscalu, J. Pipher, T. Tao and C. Thiele in [21, 22]. This gives an affirmative answer to the question, raised in the book of C. Muscalu and W. Schlag [23], on whether the L-P estimates for multi-linear and multi-parameter pseudo-differential operators hold.

引用

页码：567 / 597

页数：31

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