GEOMETRICAL DIMENSION VERSUS SMOOTHNESS

被引：33

作者：

DELIU, A

JAWERTH, B

机构：

[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

[2] UNIV S CAROLINA,DEPT MATH,COLUMBIA,SC 29208

来源：

CONSTRUCTIVE APPROXIMATION | 1992年 / 8卷 / 02期

关键词：

FRACTAL DIMENSION; WAVELETS; BESOV SPACE; SMOOTHNESS SPACE;

D O I：

10.1007/BF01238270

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the relation between geometric dimension and smoothness, and give a precise characterization of the fractal dimension of the graph of a function in terms of smoothness classes of functions. We also express the fractal dimension in terms of different classical oscillation measures and in terms of wavelet expansions.

引用

页码：211 / 222

页数：12

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