Distributional Dimension of Fractal Sets in Local Fields

被引：0
|
作者：
Hua QIU Wei Yi SU Department of Mathematics
机构：
来源：
Acta Mathematica Sinica,English Series | 2008年 / 24卷 / 01期
关键词：
local field; B-type space; F-type space; distributional dimension; Hausdorff dimension; Fourier dimension;
D O I：
暂无
中图分类号：
O189 [拓扑（形势几何学）];
学科分类号：
070104 ;
摘要：
The distributional dimension of fractal sets in R~n has been systematically studied byTriebel by virtue of the theory of function spaces.In this paper,we first discuss some importantproperties about the B-type spaces and the F-type spaces on local fields,then we give the definitionof the distributional dimension dimin local fields and study the relations between distributionaldimension and Hausdorff dimension.Moreover,the analysis expression of the Hausdorff dimension isgiven.Lastly,we define the Fourier dimension in local fields,and obtain the relations among all thethree dimensions.
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页码：147 / 158
页数：12
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