On Besov spaces modelled on Zygmund spaces

被引：1

作者：

Cobos, Fernando ^{[1
]}

Dominguez, Oscar ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, Plaza Ciencias 3, E-28040 Madrid, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2016年 / 211卷

关键词：

Logarithmic Besov spaces; Zygmund spaces; Limiting interpolation methods; Trigonometric polynomials; LOGARITHMIC INTERPOLATION SPACES; GENERALIZED SMOOTHNESS; BANACH-SPACES; APPROXIMATION SPACES; REAL INTERPOLATION; FUNCTION PARAMETER; FUNCTORS; ENVELOPES;

D O I：

10.1016/j.jat.2016.07.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Working on the d-torus, we show that Besov spaces B-p(s)(L-p (log L)(a)) modelled on Zygmund spaces can be described in terms of classical Besov spaces. Several other properties of spaces B-p(s)(L-p (log L)(a)) are also established. In particular, in the critical case s = d/p, we characterize the embedding of B-p(d/p)(L-p (log L)(a)) into the space of continuous functions. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：61 / 77

页数：17

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