Abstract
Основной результат с татьи состоит в том чт о для любой функции двух перемен ныхf(x,y) ∈ Λ0BV(T2), где Λо={1/√n} ∞n=1 сф ерические частичные суммы ее ряда Фурье равноме рно ограничены.
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Additional information
Dedicated to Professor Károly Tandori, the outstanding mathematician and academician on his seventieth birthday
This work was done under the financial support of the Russian Foundation for Fundamental Scientific Research, Grant 93-01-00240.
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Dyachenko, M.I. Waterman classes and spherical partial sums of double Fourier series. Analysis Mathematica 21, 3–21 (1995). https://doi.org/10.1007/BF01904022
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DOI: https://doi.org/10.1007/BF01904022