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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 10, Pages 79–85
DOI: https://doi.org/10.26907/0021-3446-2022-10-79-85 (Mi ivm9822) 		 
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Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals

S. V. Astashkin, D. N. Galich

Samara National Research University, 34 Moskovskoye hwy, Samara, 443086 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-10-79-85
Abstract: The problem of intervals, posed by I.Ya. Novikov in 1992 and connected with the strengthening of the well-known theorem of J. Marcinkiewicz on the structure of closed sets on the real line, is considered. A positive solution in some specific cases is obtained.
Keywords: integral of Marcinkiewicz, problem of intervals.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-878
Received: 06.06.2022
Revised: 06.06.2022
Accepted: 28.09.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 10, Pages 67–72
DOI: https://doi.org/10.3103/S1066369X22100024
Document Type: Article
UDC: 519.999
Language: Russian
Citation: S. V. Astashkin, D. N. Galich, “Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 10, 79–85; Russian Math. (Iz. VUZ), 66:10 (2022), 67–72
Citation in format AMSBIB
\Bibitem{AstGal22}
\by S.~V.~Astashkin, D.~N.~Galich
\paper Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 10
\pages 79--85
\mathnet{http://mi.mathnet.ru/ivm9822}
\crossref{https://doi.org/10.26907/0021-3446-2022-10-79-85}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 10
\pages 67--72
\crossref{https://doi.org/10.3103/S1066369X22100024}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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