Inequalities for moduli of smoothness versus embeddings of function spaces

被引：0
|
作者：
Walter Trebels
机构：
[1] Technische Universität Darmstadt,Fachbereich Mathematik
来源：
Archiv der Mathematik | 2010年 / 94卷
关键词：
Primary 46E35; 46B70; Secondary 26B05; 46E30; Marchaud; Ulyanov; Kolyada inequalities; Besov and Sobolevspaces; -functional; Holmstedt’s formula;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The so-called sharp Marchaud inequality and some converse of it, as well as the Ulyanov and Kolyada inequalities are equivalent to some embeddings between Besov and potential spaces. Peetre’s (modified) K-functional, its characterization via moduli of smoothness (also of fractional order), and limit cases of the Holmstedt formula are essentially used.
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页码：155 / 164
页数：9
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