INTERPOLATION OF LORENTZ-ORLICZ MARTINGALE SPACES

被引：1

作者：

Zhang, Chuanzhou ^{[1
]}

Pan, Yu ^{[1
]}

Zhang, Xueying ^{[1
]}

机构：

[1] Wuhan Univ Sci & Engn, Coll Sci, Wuhan 430065, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 06期

基金：

中国国家自然科学基金;

关键词：

martingale; Lorentz-Orlicz space; interpolation; function parameter;

D O I：

10.1016/S0252-9602(15)30067-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply function parameters to real interpolation of Lorentz-Orlicz martingale spaces. Some new interpolation theorems are formulated which generalize some known results in Lorentz spaces Lambda(alpha), introduced by Sharpley.

引用

页码：1467 / 1474

页数：8

共 15 条

[1]

Echandia V, 1990, B POLISH ACAD SCI MA, V38, P125

[2]

Fan LP, 2010, ACTA MATH SCI, V30, P1143

[3] FUNCTION PARAMETER IN CONNECTION WITH INTERPOLATION OF BANACH-SPACES [J].

GUSTAVSSON, J .

MATHEMATICA SCANDINAVICA, 1978, 42 (02) :289-305

[4]

Heinig HP, 1975, CAN MATH SOC C P, V1, P245

[5]

Kalugina T. F., 1975, VESTNIK MOSKOV U 1, V30, P68

[6]

Lions J.-L., 1964, I HAUTES ETUDES SCI, V19, P5, DOI 10.1007/BF02684796

[7]

LIU P., 2007, Martingale and geometry of Banach spaces

[8]

Long R., 1993, MARTINGALE SPACES IN

[9]

MERUCCI C, 1984, LECT NOTES MATH, V1070, P183

[10]

Peetre J., 1963, THEORY INTERPOLATION

← 1 2 →