New bounds for bilinear Calderon-Zygmund operators and applications

被引：17

作者：

Damian, Wendolin ^{[1
,2
]}

Hormozi, Mandi ^{[3
,4
]}

Li, Kangwei ^{[1
,5
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, POB 68,Gustaf Hallstromin Katu 2b, FI-00014 Helsinki, Finland

[2] Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain

[3] Univ Gothenburg, SE-41296 Gothenburg, Sweden

[4] Chalmers Univ Technol, SE-41296 Gothenburg, Sweden

[5] BCAM, Mazarredo 14, Bilbao Basque Country 48009, Spain

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2018年 / 34卷 / 03期

关键词：

Domination theorem; Dini condition; multilinear Calderon-Zygmund operators; commutators; square functions; Fourier multipliers; SHARP WEIGHTED BOUNDS; MULTILINEAR MAXIMAL FUNCTIONS; INEQUALITIES;

D O I：

10.4171/RMI/1021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we extend Lacey's domination theorem to prove the pointwise control of bilinear Calderon-Zygmund operators with Dini-continuous kernel by sparse operators. The precise bounds are carefully tracked following the spirit in a recent work of Hytonen, Roncal and Tapiola. We also derive new mixed weighted estimates for a general class of bilinear dyadic positive operators using multiple A(infinity), constants inspired in the Fujii-Wilson and Hruscev classical constants. These estimates have many new applications including mixed bounds for multilinear Calderon-Zygmund operators and their commutators with BMO functions, square functions and multilinear Fourier multipliers.

引用

页码：1177 / 1210

页数：34

共 30 条

[1]

[Anonymous], 1983, Lecture Notes in Math.

[2] Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels [J].