Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture

被引：51

作者：

Cruz-Uribe, D.

Martell, J. M.

Perez, C. ^{[1
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Analisis Matemat, Seville 41080, Spain

[2] Trinity Coll, Dept Math, Hartford, CT 06106 USA

[3] CSIC, Inst Matemat & Fis Fundamental, E-28006 Madrid, Spain

来源：

ADVANCES IN MATHEMATICS | 2007年 / 216卷 / 02期

关键词：

weights; Hilbert transform; singular integral operators; sarason conjecture; toeplitz operator; maximal functions; commutators;

D O I：

10.1016/j.aim.2007.05.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two-weight norm inequalities for Calderon-Zygmund singular integrals that are sharp for the Hilbert transform and for the Riesz transforms. In addition, we give results for the dyadic square function and for commutators of singular integrals. As an application we give new results for the Sarason conjecture on the product of unbounded Toeplitz operators on Hardy spaces. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：647 / 676

页数：30

共 56 条

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Cruz-Uribe D, 2002, ANN SCUOLA NORM-SCI, V1, P821

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