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.

引用

页码：119 / 144

页数：26

共 50 条

[1] Wavelets on fractals and besov spaces
Alf Jonsson
[J]. Journal of Fourier Analysis and Applications, 1998, 4 : 329 - 340
[2] Wavelets on fractals and Besov spaces
Jonsson, A
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1998, 4 (03) : 329 - 340
[3] Euclidean realizations of Mauldin-Williams graphs
Deniz A.
Koçak Ş.
Özdemir Y.
Üreyen A.E.
[J]. Journal of Geometry, 2013, 104 (2) : 257 - 263
[4] Operator algebras and Mauldin-Williams graphs
Ionescu, Marius
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 37 (03) : 829 - 849
[5] C*-Algebras Associated with Mauldin-Williams Graphs
Ionescu, Marius
Watatani, Yasuo
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (04): : 545 - 560
[6] Mauldin-Williams graphs, Morita equivalence and isomorphisms
Ionescu, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (04) : 1087 - 1097
[7] Wavelets and Besov spaces
Bourdaud, Gerard
[J]. REVISTA MATEMATICA IBEROAMERICANA, 1995, 11 (03) : 477 - 512
[8] Besov spaces on spaces of homogeneous type and fractals
Yang, DC
[J]. STUDIA MATHEMATICA, 2003, 156 (01) : 15 - 30
[9] Some Applications of Besov Spaces on Fractals
Da Chun YANG Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2005, 21 (05) : 1209 - 1218
[10] Riesz potentials and Besov spaces on Fractals
Zähle, M
[J]. FRACTALS IN GRAZ 2001: ANALYSIS - DYNAMICS - GEOMETRY - STOCHASTICS, 2003, : 271 - 276

← 1 2 3 4 5 →