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.

引用

页码：155 / 164

页数：9

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