Embeddings of Besov spaces of logarithmic smoothness

被引：15

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：

STUDIA MATHEMATICA | 2014年 / 223卷 / 03期

关键词：

Besov spaces; logarithmic smoothness; Nikol'skii inequality; approximation spaces; Lorentz-Zygmund spaces; APPROXIMATION SPACES; FUNCTION PARAMETER; BANACH-SPACES; INTERPOLATION; SOBOLEV; LORENTZ;

D O I：

10.4064/sm223-3-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with Besov spaces of logarithmic smoothness B-p,T(0,b) formed by periodic functions. We study embeddings of B-p,T(0,b) into Lorentz-Zygmund spaces L-p,L-q(log L)(beta). Our techniques rely on the approximation structure of B-p,T(0,b), Nikol'skii type inequalities, extrapolation properties of L-p,L-q(log L)(beta) and interpolation.

引用

页码：193 / 204

页数：12

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