Wavelet bases in generalized Besov spaces

被引：32

作者：

Almeida, A ^{[1
]}

机构：

[1] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 304卷 / 01期

关键词：

Besov spaces; generalized smoothness; real interpolation; wavelet representation; wavelet bases;

D O I：

10.1016/j.jmaa.2004.09.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain a wavelet representation in (inhomogeneous) Besov spaces of generalized smoothness via interpolation techniques. As consequence, we show that compactly supported wavelets of Daubechies type provide an unconditional Schauder basis in these spaces when the integrability parameters are finite. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：198 / 211

页数：14

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