Оценки норм линейных операторов на множестве тригонометрических полиномов в пространстве L0
: магистерская диссертация

学生论文: Master's Thesis

摘要

We study a Bernstein inequality for a fractional derivative of order α ≥ 0 of a trigonometric polynomial in the space L0. In the case of zero order derivative, we obtain two-sided estimates for a sharp constant in this inequality, which show its behavior with respect to n. For positive and sufficiently small α, we obtain an upper estimate for a constant in the Bernstein inequality in L0. In the second part of the dissertation, we obtain estimates for norms in the space L0 of operators that set several higher or lower coefficients of a trigonometric polynomial to be zero.
奖励日期2015
源语言Russian
奖励机构
  • Ural Federal University
导师Виталий Владимирович Арестов (Supervisor)

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