Sharp weighted logarithmic bound for maximal operators

被引：0
|
作者：
Adam Osȩkowski
机构：
[1] University of Warsaw,Department of Mathematics, Informatics and Mechanics
来源：
Archiv der Mathematik | 2016年 / 107卷
关键词：
Maximal; Dyadic; Bellman function; Best constants; Primary 42B25; Secondary 46E30; 60G42;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper contains the study of sharp weighted logarithmic estimates for maximal operators on probability spaces equipped with a tree-like structure. These inequalities can be regarded as LlogL versions of the classical estimates of Fefferman and Stein. The proof exploits the existence of a certain special function, enjoying appropriate majorization and concavity conditions.
引用
收藏
页码：635 / 644
页数：9
相关论文
共 50 条
  • [1] Sharp weighted logarithmic bound for maximal operators
    Osekowski, Adam
    [J]. ARCHIV DER MATHEMATIK, 2016, 107 (06) : 635 - 644
  • [2] The Sharp Weighted Bound for Multilinear Maximal Functions and Caldern-Zygmund Operators
    Li, Kangwei
    Moen, Kabe
    Sun, Wenchang
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2014, 20 (04) : 751 - 765
  • [3] The Sharp Weighted Bound for Multilinear Maximal Functions and Calderón–Zygmund Operators
    Kangwei Li
    Kabe Moen
    Wenchang Sun
    [J]. Journal of Fourier Analysis and Applications, 2014, 20 : 751 - 765
  • [4] SHARP WEIGHTED BOUNDS FOR GEOMETRIC MAXIMAL OPERATORS
    Osekowski, Adam
    [J]. GLASGOW MATHEMATICAL JOURNAL, 2017, 59 (03) : 533 - 547
  • [5] Sharp weighted inequalities for harmonic maximal operators
    Osekowski, Adam
    Rapicki, Mateusz
    [J]. NEW YORK JOURNAL OF MATHEMATICS, 2022, 28 : 140 - 153
  • [6] Sharp weighted bounds for one-sided maximal operators
    Francisco J. Martín-Reyes
    Alberto de la Torre
    [J]. Collectanea Mathematica, 2015, 66 : 161 - 174
  • [7] Sharp weighted bounds for one-sided maximal operators
    Martin-Reyes, Francisco J.
    de la Torre, Alberto
    [J]. COLLECTANEA MATHEMATICA, 2015, 66 (02) : 161 - 174
  • [8] The sharp weighted bound for general Calderon-Zygmund operators
    Hytonen, Tuomas P.
    [J]. ANNALS OF MATHEMATICS, 2012, 175 (03) : 1473 - 1506
  • [9] Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals
    Li, Kangwei
    Moen, Kabe
    Sun, Wenchang
    [J]. MATHEMATISCHE NACHRICHTEN, 2015, 288 (5-6) : 619 - 632
  • [10] Sharp bound for the ergodic maximal operator associated to Cesaro bounded operators
    Cabral, Adrian
    Martin-Reyes, Francisco J.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (01) : 648 - 664
12345