WAVELETS AND BESOV SPACES ON MAULDIN-WILLIAMS FRACTALS

被引：0
|
作者：
Bodin, Mats [1 ]
机构：
[1] Umea Univ, Dept Math & Math Stat, SE-90187 Umea, Sweden
来源：
REAL ANALYSIS EXCHANGE | 2006年 / 32卷 / 01期
关键词：
Besov spaces; wavelets; graph-directed self-similar sets;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A. Jonsson has constructed wavelets of higher order on self-similar sets, and characterized Besov spaces on totally disconnected self-similar sets, by means of the magnitude of the coefficients in the wavelet expansion of the function. For a class of self-similar sets, W. Jin shows that such wavelets can be constructed by recursively calculating moments. We extend their results to a class of graph-directed self-similar sets, introduced by R. D. Mauldin and S. C. Williams.
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页码：119 / 144
页数：26
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