Abstract

ПустьТn —n-мерный тор и\(S_N = \sum\limits_{|m_1 |< N} {...} \sum\limits_{|m_n |< N} {a_m e^{imx} } ,N = 1,2,...,\) — частные суммы ряда Фурье функции ƒ(х)∈Lv(Tn), 1<p<∞. Исследуется вопрос, к акие свойства гладко сти функцииf, необходимы и достат очны для выполнения соотн ошений

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