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.
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页码：193 / 204
页数：12
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