Multilevel decompositions of functional spaces

被引：17

作者：

Canuto, C ^{[1
]}

Tabacco, A ^{[1
]}

机构：

[1] CNR, IST ANAL NUMER, I-27100 PAVIA, ITALY

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1997年 / 3卷 / 06期

关键词：

multilevel decompositions; Jackson and Bernstein inequalities; Besov spaces; biorthogonal wavelets;

D O I：

10.1007/BF02648264

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A unified abstract framework for the multilevel decomposition of both Banach and quasi-Banach spaces is presented. The characterization of intermediate spaces and their duals is derived from general Bernstein and Jackson inequalities. Applications to compactly supported biorthogonal wavelet decompositions of families of Besov spaces are also given.

引用

页码：715 / 742

页数：28

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