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<p>We study series in terms of multiplicative Price systems with coefficients in the class of sequences of bounded variation. Necessary and sufficient conditions are obtained for estimating the norm of sums of such series in weighted Lebesgue spaces. The obtained conditions are formulated in terms of the weight function and the weight sequence.</p>

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Weighted Inequalities for Fourier Series with Respect to a Multiplicative System and Coefficients of Bounded Variations

  • 期刊论文

  • 发表日期：

    2025年6月21日

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  • Manshuk Mukhambetzhan,
  • Mendybay Turgumbayev,
  • Zauresh Suleimenova

摘要

We study series in terms of multiplicative Price systems with coefficients in the class of sequences of bounded variation. Necessary and sufficient conditions are obtained for estimating the norm of sums of such series in weighted Lebesgue spaces. The obtained conditions are formulated in terms of the weight function and the weight sequence.