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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb. (N.S.), 1987 Volume 134(176), Number 3(11), Pages 404–420 (Mi sm2767)
This article is cited in 1 paper

On the smoothness of Luzin primitives and on theorems of Men'shov and Bari

V. G. Krotov


Abstract: Definitive estimates are obtained for the moduli of smoothness of Luzin primitives whose Fourier–Stieltjes series represent arbitrary measurable functions.
Bibliography: 13 titles.

UDC: 517.5

MSC: Primary 42A20, 26A15; Secondary 28A20

Received: 19.05.1986


 English version: Mathematics of the USSR-Sbornik, 1989, 62:2, 403–419

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