Local growth envelopes of Triebel-Lizorkin spaees of generalized smoothness

被引：16

作者：

Caetano, Antonio M. ^{[1
]}

Leopold, Hans-Gerd

机构：

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

[2] Univ Jena, Math Inst, D-07737 Jena, Germany

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2006年 / 12卷 / 04期

关键词：

Triebel-Lizorkin spaces; Besov spaces; generalized smoothness; standardization; growth envelopes; sharp inequalities; limiting embeddings;

D O I：

10.1007/s00041-006-6018-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of local growth envelope (E(LG)A, u) of the quasi-normed function space A is applied to the Triebel-Lizorkin spaces of generalized smoothness F-p,q(sigma N) (R-n). In order to achieve this, a standardization result for these and corresponding Besov spaces is derived.

引用

页码：427 / 445

页数：19

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