A BELLMAN FUNCTION PROOF OF THE L2 BUMP CONJECTURE

被引：24

作者：

Nazarov, Fedor ^{[1
]}

Reznikov, Alexander ^{[2
]}

Treil, Sergei ^{[3
]}

Volberg, Alexander ^{[2
]}

机构：

[1] Kent State Univ, Dept Math, Kent, OH 44242 USA

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

[3] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2013年 / 121卷

基金：

美国国家科学基金会;

关键词：

CALDERON-ZYGMUND OPERATORS; 2-WEIGHT INEQUALITIES; SINGULAR-INTEGRALS; NORM INEQUALITIES; BOUNDEDNESS;

D O I：

10.1007/s11854-013-0035-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We approach the problem of finding the sharp sufficient condition for boundedness of all two weight Caldern-Zygmund operators. We solve this problem in L (2) by writing a formula for a Bellman function of the problem.

引用

页码：255 / 277

页数：23

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