Continuity in Λ-variations of functions of several variables

被引：5

作者：

Dragoshanskii, OS ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2003年 / 194卷 / 7-8期

关键词：

D O I：

10.1070/SM2003v194n07ABEH000752

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A test for the coincidence in the multidimensional case of the class of functions of bounded Lambda-variation with the class of functions continuous in Lambda-variation is obtained for a large variety of sequences Lambda (such that the ratio lambda(2n)/lambda(n) has a limit as n --> infinity).

引用

页码：1009 / 1034

页数：26