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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 4(1), Pages 401–407
DOI: https://doi.org/10.18500/1816-9791-2014-14-4-401-407 (Mi isu528) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

The Intermediate Case of Regularity in the Problem of Differentiation of Multiple Integrals

D. V. Fufaev

Moscow State University, Department of Mechanics and Mathematics, Leninskie Gori, GSP-1, Moscow, 119991, Russia
Full-text PDF (175 kB) Citations (3)
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DOI: https://doi.org/10.18500/1816-9791-2014-14-4-401-407
Abstract: The paper deals with generalization of Lebesgue and Jessen–Marcinkiewicz–Zygmund theorems of the differentiation of multiple integrals for the intermediate case of regularity of the system of sets. The application of the result to the Fourier–Haar series and to orthorecursive expansions with respect to system of indicators of multi-dimensional intervals is considered.
Key words: Fourier series, orthorecursive expansions, Lebesgue integral, Haar system.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: D. V. Fufaev, “The Intermediate Case of Regularity in the Problem of Differentiation of Multiple Integrals”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014), 401–407
Citation in format AMSBIB
\Bibitem{Fuf14}
\by D.~V.~Fufaev
\paper The Intermediate Case of Regularity in the Problem of~Differentiation of~Multiple Integrals
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 4(1)
\pages 401--407
\mathnet{http://mi.mathnet.ru/isu528}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-4-401-407}
\elib{https://elibrary.ru/item.asp?id=22575448}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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