ON THE EXTENSIONS OF VECTOR-VALUED LOEB MEASURES

被引：5

作者：

OSSWALD, H

SUN, Y

机构：

[1] UNIV MUNICH,INST MATH,W-8000 MUNICH 2,GERMANY

[2] UNIV ILLINOIS,DEPT MATH,URBANA,IL 61801

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 111卷 / 03期

关键词：

D O I：

10.2307/2048403

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two ways of constructing countably additive vector measures from internal vector measures are given. The connection of the extendability of vector-valued Loeb measures and the existence of the internal control measures is shown.

引用

页码：663 / 675

页数：13

共 50 条

[1] EXTENSIONS OF VECTOR-VALUED MEASURES
GOULD, GG
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1966, 16 : 685 - &
[2] LOEB COMPLETION OF INTERNAL VECTOR-VALUED MEASURES
ZIVALJEVIC, RT
[J]. MATHEMATICA SCANDINAVICA, 1985, 56 (02) : 276 - 286
[3] VECTOR-VALUED LOEB MEASURES AND THE LEWIS INTEGRAL
OSSWALD, H
[J]. MATHEMATICA SCANDINAVICA, 1991, 68 (02) : 247 - 268
[4] ON THE THEORY OF VECTOR-VALUED LOEB MEASURES AND INTEGRATION
SUN, YE
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 104 (02) : 327 - 362
[5] EXTENSIONS OF VECTOR-VALUED STIELTJES MEASURES
WITTE, FP
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A795 - A795
[6] VECTOR-VALUED MEASURES
TWEDDLE, I
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1970, 20 : 469 - &
[7] INTEGRATION OF VECTOR-VALUED FUNCTIONS WITH RESPECT TO VECTOR-VALUED MEASURES
DEBIEVE, C
[J]. REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1981, 26 (07): : 943 - 957
[8] EXTENSIONS OF VECTOR-VALUED MODULAR FUNCTIONS
HUNEYCUT.JE
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 186 - &
[9] Vector-Valued Optimal Lipschitz Extensions
Sheffield, Scott
Smart, Charles K.
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2012, 65 (01) : 128 - 154
[10] Vector-valued extensions of operators on martingales
Tozoni, SA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (01) : 128 - 151

← 1 2 3 4 5 →