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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm752https://doi.org/10.1070/SM2003v194n07ABEH000752 https://www.mathnet.ru/eng/sm/v194/i7/p57
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Abstract page: | 303 | Russian version PDF: | 181 | English version PDF: | 15 | References: | 60 | First page: | 1 |
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