Multilinear Calderon-Zygmund theory

被引：506

作者：

Grafakos, L ^{[1
]}

Torres, RH

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

来源：

ADVANCES IN MATHEMATICS | 2002年 / 165卷 / 01期

基金：

美国国家科学基金会;

关键词：

Calderon Zygmund singular integrals; multilinear operators; multipliers interpolation; T1; theorem; pseudodifferential operators;

D O I：

10.1006/aima.2001.2028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A systematic treatment of multilinear Calderon-Zygmund operators is presented. The theory developed includes strong type and endpoint weak type estimates, interpolation. a multilinear T1 theorem, and a variety of results regarding multilinear multiplier operators. (C) 2001 Elsevier Science (USA).

引用

页码：124 / 164

页数：41

共 27 条

[1]

[Anonymous], ANAL LINEAR PARTIAL

[2]

[Anonymous], 1966, ANN SCUOLA NORM SUP

[3] CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS [J].