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Sbornik: Mathematics, 1995, Volume 186, Issue 9, Pages 1363–1374
DOI: https://doi.org/10.1070/SM1995v186n09ABEH000073 (Mi sm73) 		 
A multidimensional analogue of a theorem of F. Riesz

F. A. Talalian
English version PDF (448 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1995v186n09ABEH000073
Abstract: In this paper a multidimensional analogue of a theorem of F. Riesz is proved which deals with conditions for the representability of a given function as the indefinite integral of a function of bounded variation. Our result is formulated via the notion of Vitali essential variation of functions of several variables, which was introduced in an earlier paper by the author.
Received: 03.10.1994
Bibliographic databases:
UDC: 517.51
MSC: Primary 26B15, 26B30; Secondary 26A42
Language: English
Original paper language: Russian
Citation: F. A. Talalian, “A multidimensional analogue of a theorem of F. Riesz”, Sb. Math., 186:9 (1995), 1363–1374
Citation in format AMSBIB
\Bibitem{Tal95}
\by F.~A.~Talalian
\paper A multidimensional analogue of a~theorem of F.~Riesz
\jour Sb. Math.
\yr 1995
\vol 186
\issue 9
\pages 1363--1374
\mathnet{http://mi.mathnet.ru//eng/sm73}
\crossref{https://doi.org/10.1070/SM1995v186n09ABEH000073}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1360192}
\zmath{https://zbmath.org/?q=an:0872.26005}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TX11300009}
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  • https://www.mathnet.ru/eng/sm/v186/i9/p135
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