EMBEDDING OF CLASSES OF FUNCTIONS WITH Λφ-BOUNDED VARIATION INTO GENERALIZED LIPSCHITZ CLASSES

被引：5

作者：

Wang, Heping ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 04期

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

Lambda-bounded variation; Lipschitz classes; embedding; FOURIER-SERIES; LAMBDA-BV(P); CONVERGENCE;

D O I：

10.7153/mia-18-113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we obtain the sufficient and necessary condition for the embedding of the classes Lambda phi BV of functions with Lambda(phi)-bounded variation into the generalized Lipschitz classes H-q(omega), 1 <= q < infinity.

引用

页码：1463 / 1471

页数：9

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