THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES

doi:10.1016/S0252-9602(06)60024-6

数学物理学报(英文版)

THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES

左红亮; 刘培德

武汉大学数学与统计学院, 武汉 430072

收稿日期:2003-11-27 修回日期:1900-01-01 出版日期:2006-01-20 发布日期:2006-01-20
通讯作者: 左红亮
基金资助:
his work was supported by the NSF of China and the aid financial plan for the backbone of the young teachers of University of Henan.

THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES

Zuo Hongliang; Liu Peide

College of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2003-11-27 Revised:1900-01-01 Online:2006-01-20 Published:2006-01-20
Contact: Zuo Hongliang

摘要/Abstract

摘要：

In this article the authors introduce the minimal operator on martingale spaces, discuss some one-weight and two-weight inequalities for the minimal operator and characterize the conditions which make the inequalities hold.

关键词: Minimal operator, weight, martingale inequality

Abstract:

Key words: Minimal operator, weight, martingale inequality

中图分类号:

60G42

左红亮; 刘培德. THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES[J]. 数学物理学报(英文版), 2006, 26(1): 31-40.

Zuo Hongliang; Liu Peide. THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES[J]. Acta mathematica scientia,Series B, 2006, 26(1): 31-40.

[1]	刘培德, 王茂发. BURKHOLDER-GUNDY-DAVIS INEQUALITY IN MARTINGALE HARDY SPACES WITH VARIABLE EXPONENT[J]. 数学物理学报(英文版), 2018, 38(4): 1151-1162.
[2]	Jasbir Singh MANHAS, Ruhan ZHAO. PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES[J]. 数学物理学报(英文版), 2018, 38(4): 1105-1120.
[3]	王茂发, 姚兴兴, 邓方文. WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES[J]. 数学物理学报(英文版), 2018, 38(4): 1427-1440.
[4]	王朋燕, 王永忠. POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM[J]. 数学物理学报(英文版), 2018, 38(3): 935-949.
[5]	周永辉, 杨赟瑞, 刘克盼. STABILITY OF TRAVELING WAVES IN A POPULATION DYNAMIC MODEL WITH DELAY AND QUIESCENT STAGE[J]. 数学物理学报(英文版), 2018, 38(3): 1001-1024.
[6]	宋慧娟, 尹景学, 王泽佳. MULTIPLICITY OF SOLUTIONS OF WEIGHTED (p, q)-LAPLACIAN WITH SMALL SOURCE[J]. 数学物理学报(英文版), 2018, 38(2): 419-428.
[7]	刘颖博, Ingo WITT. SMALL DATA SOLUTIONS OF 2-D QUASILINEAR WAVE EQUATIONS UNDER NULL CONDITIONS[J]. 数学物理学报(英文版), 2018, 38(1): 125-150.
[8]	杨兆星, 张国宝. GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY[J]. 数学物理学报(英文版), 2018, 38(1): 289-302.
[9]	Jongrak LEE. HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES[J]. 数学物理学报(英文版), 2017, 37(6): 1695-1704.
[10]	王定怀, 周疆, 陈文艺. ANOTHER CHARACTERIZATIONS OF MUCKENHOUPT A_p CLASS[J]. 数学物理学报(英文版), 2017, 37(6): 1761-1774.
[11]	丁卫, 朱月萍. DUALITY OF WEIGHTED MULTIPARAMETER TRIEBEL-LIZORKIN SPACES[J]. 数学物理学报(英文版), 2017, 37(4): 1083-1104.
[12]	程峰, 李维喜, 徐超江. GEVREY REGULARITY WITH WEIGHT FOR INCOMPRESSIBLE EULER EQUATION IN THE HALF PLANE[J]. 数学物理学报(英文版), 2017, 37(4): 1115-1132.
[13]	申广君, 尹修伟, 闫理坦. ERRATUM TO:LEAST SQUARES ESTIMATION FOR ORNSTEIN-UHLENBECK PROCESSES DRIVEN BY THE WEIGHTED FRACTIONAL BROWNIAN MOTION[J]. 数学物理学报(英文版), 2017, 37(4): 1173-1176.
[14]	Mohammed Salah M'HAMDI, Chaouki AOUITI, Abderrahmane TOUATI, Adel M. ALIMI, Vaclav SNASEL. WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS[J]. 数学物理学报(英文版), 2016, 36(6): 1662-1682.
[15]	王路生, 肖清华, 熊林杰, 赵会江. THE VLASOV-POISSON-BOLTZMANN SYSTEM NEAR MAXWELLIANS FOR LONG-RANGE INTERACTIONS[J]. 数学物理学报(英文版), 2016, 36(4): 1049-1097.

THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES

THE MINIMAL OPERATOR AND WEIGHTED INEQUALITIES FOR MARTINGALES

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10