This article is cited in 7 papers

Continuity in $\Lambda$-variations of functions of several variables

O. S. Dragoshanskii

M. V. Lomonosov Moscow State University

Abstract: 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 $n\to\infty$).

UDC: 517.51

MSC: 26B30

Received: 19.07.2002

DOI: 10.4213/sm752

 English version: Sbornik: Mathematics, 2003, 194:7, 1009–1034

Bibliographic databases:

• 
• 
• 
• 
•