Approximation spaces, limiting interpolation and Besov spaces

被引：32

作者：

Cobos, Fernando ^{[1
]}

Dominguez, Oscar ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2015年 / 189卷

关键词：

Approximation spaces; Limiting real interpolation; Besov spaces; Fourier coefficients; Lorentz-Zygmund spaces; REAL INTERPOLATION; LOGARITHMIC FUNCTORS;

D O I：

10.1016/j.jat.2014.09.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With the help of limiting interpolation we determine the spaces obtained by iteration of approximation constructions. Then we apply the reiteration formula and limiting interpolation to investigate several problems on Besov spaces, including embeddings in Lorentz-Zygmund spaces and distribution of Fourier coefficients. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：43 / 66

页数：24

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