On the smoothness of Luzin primitives and on theorems of Men'shov
Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 403-419
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Definitive estimates are obtained for the moduli of smoothness of Luzin primitives whose Fourier–Stieltjes series represent arbitrary measurable functions.
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@article{SM_1989_62_2_a5,
author = {V. G. Krotov},
title = {On the smoothness of {Luzin} primitives and on theorems of {Men'shov}},
journal = {Sbornik. Mathematics},
pages = {403--419},
publisher = {mathdoc},
volume = {62},
number = {2},
year = {1989},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1989_62_2_a5/}
}
V. G. Krotov. On the smoothness of Luzin primitives and on theorems of Men'shov. Sbornik. Mathematics, Tome 62 (1989) no. 2, pp. 403-419. http://geodesic.mathdoc.fr/item/SM_1989_62_2_a5/