SHARP LP-BOUNDS FOR THE MARTINGALE MAXIMAL FUNCTION

被引：1

作者：

Osekowski, Adam ^{[1
]}

机构：

[1] Univ Warsaw, Dept Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland

来源：

TOHOKU MATHEMATICAL JOURNAL | 2018年 / 70卷 / 01期

关键词：

Martingale; maximal function; weighted inequality; best constant; WEIGHTED INEQUALITIES; OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper studies sharp weighted L-p inequalities for the martingale maximal function. Proofs exploit properties of certain special functions of four variables and self-improving properties of A(p) weights.

引用

页码：121 / 138

页数：18

共 23 条

[1] ESTIMATES FOR OPERATOR NORMS ON WEIGHTED SPACES AND REVERSE JENSEN INEQUALITIES
BUCKLEY, SM
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 340 (01) : 253 - 272
[2] BURKHOLDER DL, 1991, LECT NOTES MATH, V1464, P2
[3] Sharp weighted estimates for classical operators
Cruz-Uribe, David
Maria Martell, Jose
Perez, Carlos
[J]. ADVANCES IN MATHEMATICS, 2012, 229 (01) : 408 - 441
[4] DELLACHERIE C, 1982, PROBABILITIES POTE B
[5] SOME MAXIMAL INEQUALITIES
FEFFERMAN, C
STEIN, EM
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1971, 93 (01) : 107 - +
[6] Garcia-Cuerva J., 1985, WEIGHTED NORM INEQUA
[7] Hukovic S., 2000, OPER THEOR, V113, P97
[8] Sharp weighted estimates for dyadic shifts and the A2 conjecture
Hytonen, Tuomas
Perez, Carlos
Treil, Sergei
Volberg, Alexander
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 687 : 43 - 86
[9] Izumisawa M., 1977, Tohoku Math. J., V29, P115, DOI [10.2748/tmj/1178240700, DOI 10.2748/TMJ/1178240700]
[10] KAZAMAKI N., 1994, LECT NOTES MATH, P1579

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