Geodesic
Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2022), pp. 79-85.

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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. 
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S. V. Astashkin; D. N. Galich. Estimating the measure of $k$-fold intersections of $k$-fold stretched intervals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2022), pp. 79-85. http://geodesic.mathdoc.fr/item/IVM_2022_10_a7/

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[2] Zigmund A., Trigonometricheskie ryady, v. 1, Mir, M., 1965

[3] Novikov I.Ya., “A list of open problems”, Israel Math. Conf. Proc., v. 5, Gelbart Research Inst. for Math. Sci., Bar-Ilan Univ., 1992, 290

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