Characterization by approximation of homogeneous Besov and Triebel–Lizorkin type spaces

被引：0
|
作者：
Madani Moussai
机构：
[1] Faculty of Mathematics and Computer Science M. Boudiaf University of M’Sila,Laboratory of Functional Analysis and Geometry of Spaces
来源：
Archiv der Mathematik | 2024年 / 122卷
关键词：
Besov type space; Triebel–Lizorkin type space; Littlewood–Paley decomposition; Maximal function; 46E35; 42B25;
D O I：
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学科分类号：
摘要：
By approximation with sequences in a certain set of distributions modulo polynomials, we characterize the homogeneous Besov and Triebel–Lizorkin type spaces, then we obtain equivalent quasi-norms defined by the infimum on such a set. The same result holds for the classical homogeneous Besov and Triebel–Lizorkin spaces.
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页码：59 / 69
页数：10
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