RADON-NIKODYM THEOREMS FOR MULTIMEASURES AND TRANSITION MULTIMEASURES

被引:4
作者
PAPAGEORGIOU, NS
机构
关键词
MULTIMEASURE; TRANSITION MULTIMEASURE; VECTOR MEASURE; BOUNDED VARIATION; RADON-NIKODYM PROPERTY; SELECTION THEOREM; MEASURABLE MULTIFUNCTIONS;
D O I
10.2307/2048337
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we prove two set valued Radon-Nikodym theorems. One for simple multimeasures and the other for transition multimeasures. In the process of proving the second theorem, we obtain a result concerning transition selectors of transition multimeasures, which is of independent interest.
引用
收藏
页码:465 / 474
页数:10
相关论文
共 23 条
  • [1] ARTSTEIN Z, 1972, T AM MATH SOC, V65, P103
  • [2] ASSANI I, 1982, CR ACAD SCI I-MATH, V294, P641
  • [4] COSTE A, 1975, CR ACAD SCI A MATH, V280, P1515
  • [5] COSTE A, 1975, CR ACAD SCI A MATH, V280, P567
  • [6] COSTE A, 1978, ANN SOC MATH POLON 1, V20, P283
  • [7] DEBREU G, 1972, 6TH P BERK S MATH ST, P41
  • [8] DELABARRIERE RP, 1979, SEMINAIRE INITIATION, V7
  • [9] DIESTEL J, 1977, MATH SURVEYS, V15
  • [10] Dinculeanu N., 1966, VECTOR MEASURES