A pointwise estimate for positive dyadic shifts and some applications

被引：77

作者：

Conde-Alonso, Jose M. ^{[1
]}

Rey, Guillermo ^{[2
]}

机构：

[1] CSIC UAM UC3M UCM, Inst Ciencias Matemat, C Nicolas Cabrera 13-15, Madrid 28049, Spain

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

MATHEMATISCHE ANNALEN | 2016年 / 365卷 / 3-4期

关键词：

CALDERON-ZYGMUND OPERATORS; SINGULAR-INTEGRALS; SHARP; BOUNDS;

D O I：

10.1007/s00208-015-1320-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a (sharp) pointwise estimate for positive dyadic shifts of complexity m which is linear in the complexity. This can be used to give a pointwise estimate for Caldern-Zygmund operators and to answer a question originally posed by Lerner. Several applications to weighted estimates for both multilinear Caldern-Zygmund operators and square functions are discussed.

引用

页码：1111 / 1135

页数：25

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