On the pointwise regularity of functions in critical Besov spaces

被引：24

作者：

Jaffard, S

Meyer, Y

机构：

[1] Univ Paris 12, Fac Sci & Technol, Dept Math, F-94010 Creteil, France

[2] ENS Cachan, CMLA, F-94235 Cachan, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2000年 / 175卷 / 02期

关键词：

Besov spaces; critical indexes; Holder regularity; spectrum of singularities; fractal sets; Hausdorff dimension; multifractal functions; Baire categories;

D O I：

10.1006/jfan.2000.3605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We bound the spectrum of singularities of functions in the critical Besov spaces, and we show that this result is sharp, in the sense that equality in the bounds holds for quasi-every function of the corresponding Besov space. (C) 2000 Academic Press.

引用

页码：415 / 434

页数：20

共 14 条

[1]

[Anonymous], 1990, FRACTAL GEOMETRY

[2]

Bourdaud G, 1995, REV MAT IBEROAM, V11, P477

[3]

DEVORE R, 1998, ACTA NUMER, P1

[4]

DONOHO DL, 1995, J ROY STAT SOC B MET, V57, P301

[5] Multifractal formalism for functions .1. Results valid for all functions [J].

Jaffard, S .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (04) :944-970

[6]

JAFFARD S, IN PRESS J MATH PURE

[7]

Jaffard S., 1996, MEM AM MATH SOC, V123, p[x, 110]

[8]

JAFFARD S, IN PRESS ANN APPL PR

[9]

JAFFARD S, 1990, PUBL MAT, V34

[10]

Lemarie PG, 1986, REV MAT IBEROAM, V2, P1

← 1 2 →