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On the exactness of a theorem of G.A. Fomin

О точности теоремы Г. А. Фомина

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Abstract

Доказывается, что тео рема Γ. А. Фомина [1] об интегрируемости сум мы косинус-ряда не может быть усилена. Конструкция соответ ствующего примера основана на н еравенстве Хинчина для функций Р адемахера.

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References

  1. G. A. Fomin, A class of trigonometric series.Mat. Zametki,23 (1978), 213–222 (Russian).

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  2. A. Zygmund,Trigonometric series, Univ. Press (Cambridge, 1959).

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Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi Vértanúk Tere 1, 6720, Szeged, Hungary

    Dang Vu Giang

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  1. Dang Vu Giang
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Giang, D.V. On the exactness of a theorem of G.A. Fomin. Analysis Mathematica 17, 133–140 (1991). https://doi.org/10.1007/BF01906599

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  • DOI: https://doi.org/10.1007/BF01906599

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