Wavelet bases in rearrangement invariant function spaces

被引：12
|
作者：
Soardi, PM [1 ]
机构：
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 12期
关键词：
D O I：
10.1090/S0002-9939-97-04207-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We point out that the well known characterization of LP spaces (1 < p < infinity) in terms of orthogonal wavelet bases extends to any separable rearrangement invariant Banach function space X on R-n (equipped with Lebesgue measure) with nontrivial Boyd's indices: Moreover we show that such bases are unconditional bases of X.
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页码：3669 / 3673
页数：5
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