Bounded operators on vector-valued weak Orlicz martingale spaces

被引：0

作者：

A. Yang

机构：

[1] Fudan University,School of Mathematical Sciences

来源：

Acta Mathematica Hungarica | 2017年 / 152卷

关键词：

primary 60G46; secondary 60G42; Orlicz function; Banach space; vector-valued martingale; boundedness; atomic decomposition; martingale inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to studying the boundedness of sublinear operators on vector-valued weak Orlicz martingale spaces. These results closely depend on the geometrical properties of the Banach space in which the martingales take values. Also the results obtained here extend the corresponding known results from scalar-valued setting to vector-valued setting.

引用

页码：186 / 200

页数：14

共 50 条

[1] Bounded operators on vector-valued weak Orlicz martingale spaces
Yang, A.
[J]. ACTA MATHEMATICA HUNGARICA, 2017, 152 (01) : 186 - 200
[2] Atomic decompositions of vector-valued weak Musielak-Orlicz martingale spaces and applications
Yang, Anming
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (01) : 670 - 681
[3] ON VECTOR-VALUED ORLICZ SPACES
CHEN, ST
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1984, 5 (03) : 293 - 304
[4] Vector-valued weak martingale Hardy spaces and atomic decompositions
Y. -L. Hou
Y. -B. Ren
[J]. Acta Mathematica Hungarica, 2007, 115 : 235 - 246
[5] Vector-valued weak martingale Hardy spaces and atomic decompositions
Hou, Y.-L.
Ren, Y.-B.
[J]. ACTA MATHEMATICA HUNGARICA, 2007, 115 (03) : 235 - 246
[6] Duality for vector-valued Bergman–Orlicz spaces and little Hankel operators between vector-valued Bergman–Orlicz spaces on the unit ball
D. Békollè
T. Mfouapon
E. L. Tchoundja
[J]. Analysis Mathematica, 2024, 50 : 31 - 78
[7] Substitution Vector-Valued Integral Type Operators on Orlicz Spaces
Moayyerizadeh, Zahra
[J]. FILOMAT, 2021, 35 (09) : 3183 - 3192
[8] Dual spaces of weak Orlicz-Hardy spaces for vector-valued martingales
Yu, Lin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 437 (01) : 71 - 89
[9] Duality for vector-valued Bergman-Orlicz spaces and little Hankel operators between vector-valued Bergman-Orlicz spaces on the unit ball
Bekolle, D.
Mfouapon, T.
Tchoundja, E. L.
[J]. ANALYSIS MATHEMATICA, 2024, 50 (01) : 31 - 78
[10] KOTHE-ORLICZ VECTOR-VALUED WEAKLY SEQUENCE SPACES OF DIFFERENCE OPERATORS
Raj, Kuldip
Choudhary, Anu
[J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2019, 25 (02): : 161 - 175

← 1 2 3 4 5 →