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Matematicheskie Zametki, 2007, Volume 81, Issue 2, Pages 205–216
DOI: https://doi.org/10.4213/mzm3548 (Mi mzm3548) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Denjoy–Luzin Definitions of the Function Classes $ACG$, $ACG^*$, $V\!BG$, and $V\!BG^*$

Yu. A. Zhereb'ev

M. V. Lomonosov Moscow State University
Full-text PDF (540 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm3548
Abstract: An equivalent form of the Denjoy–Luzin definitions of the function classes $ACG$, $ACG^*$, $V\!BG$, and $V\!BG^*$ is suggested. Conditions sufficient for the variational measure and approximation variational measure to be semimoderated are obtained.
Keywords: $ACG$-function, $ACG^*$-function, $V\!BG$-function, $V\!BG^*$-function, $AC$-function, $AC^*$-function, $V\!B$-function, $V\!B^*$-function, variational measure, semimoderated measure.
Received: 19.01.2006
Revised: 29.05.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 1, Pages 183–192
DOI: https://doi.org/10.1134/S000143460701021X
Bibliographic databases:
UDC: 517.518.12
Language: Russian
Citation: Yu. A. Zhereb'ev, “On the Denjoy–Luzin Definitions of the Function Classes $ACG$, $ACG^*$, $V\!BG$, and $V\!BG^*$”, Mat. Zametki, 81:2 (2007), 205–216; Math. Notes, 81:1 (2007), 183–192
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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