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

Mukhambetzhan M. Turgumbayev M. Suleimenova Z.
June 2025 Springer

Journal of Mathematical Sciences (United States)
2025 #291 Issue 2 274 - 281 pp.

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.

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Gumilyov Eurasian National University, 2, Satbaev St., Astana, 010000, Kazakhstan
Karaganda Buketov University of Kazakhstan, 28, University St., Karaganda, 100028, Kazakhstan

Gumilyov Eurasian National University
Karaganda Buketov University of Kazakhstan

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