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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 4, Pages 949–962
DOI: https://doi.org/10.1070/IM1973v007n04ABEH001982 (Mi im2327) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On $D$-integrable conjugate functions

T. P. Lukashenko
English version PDF (494 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM1973v007n04ABEH001982
Abstract: In this article we prove that the Riesz equality holds for conjugate functions which are Denjoy integrable in the restricted sense. As a corollary one obtains that if the conjugate function is Denjoy integrable in the restricted sense, then the conjugate series coincides with the Fourier–Denjoy series of the conjugate function.
Received: 04.04.1972
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A40; Secondary 26A39
Language: English
Original paper language: Russian
Citation: T. P. Lukashenko, “On $D$-integrable conjugate functions”, Math. USSR-Izv., 7:4 (1973), 949–962
Citation in format AMSBIB
\Bibitem{Luk73}
\by T.~P.~Lukashenko
\paper On $D$-integrable conjugate functions
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 4
\pages 949--962
\mathnet{http://mi.mathnet.ru//eng/im2327}
\crossref{https://doi.org/10.1070/IM1973v007n04ABEH001982}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=333560}
\zmath{https://zbmath.org/?q=an:0282.42005}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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