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).
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页码：1009 / 1034
页数：26
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