FRACTAL VECTOR MEASURES

被引：0
|
作者：
Chitescu, Ion [1 ]
Nita, Lucian [2 ]
机构：
[1] Univ Bucharest, Fac Math & Comp Sci, Bucharest 010014, Romania
[2] Tech Univ Civil Engn, Bucharest 020396, Romania
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2015年 / 77卷 / 03期
关键词：
iterated function system; variation of a vector measure; Monge-Kantorovich norm; fixed point;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we extend the concept of the fractal measure (the Hutchinson measure, which is the unique fixed point of a contraction on the set of normalized Borel measures on a compact metric space) associated to an iterated function system. An important property of this measure is that its support is the atractor of the iterated function system. Here, an extension of this result is given for the case of vector measures taking their values in a finite dimensional space or in an arbitrary Banach space..
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页码：219 / 228
页数：10
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