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Sbornik: Mathematics, 2003, Volume 194, Issue 7, Pages 1009–1034
DOI: https://doi.org/10.1070/SM2003v194n07ABEH000752
(Mi sm752)
 

This article is cited in 7 scientific papers (total in 7 papers)

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

O. S. Dragoshanskii

M. V. Lomonosov Moscow State University
References:
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 $n\to\infty$).
Received: 19.07.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 7, Pages 57–82
DOI: https://doi.org/10.4213/sm752
Bibliographic databases:
UDC: 517.51
MSC: 26B30
Language: English
Original paper language: Russian
Citation: O. S. Dragoshanskii, “Continuity in $\Lambda$-variations of functions of several variables”, Mat. Sb., 194:7 (2003), 57–82; Sb. Math., 194:7 (2003), 1009–1034
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/sm752
  • https://doi.org/10.1070/SM2003v194n07ABEH000752
  • https://www.mathnet.ru/eng/sm/v194/i7/p57
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:303
    Russian version PDF:181
    English version PDF:15
    References:60
    First page:1
     
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