Email this article Multiple trigonometric series with partially monotone coefficients
- Authors: Dzhumabaeva D.G.1, Dyachenko M.I.2,3, Nursultanov E.D.4
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Affiliations:
- L. N. Gumilyov Eurasian National University, Astana, Republic of Kazakhstan
- Lomonosov Moscow State University, Moscow, Russia
- Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia
- Kazakhstan Branch of Lomonosov Moscow State University, Astana, Republic of Kazakhstan
- Issue: Vol 216, No 1 (2025)
- Pages: 79-95
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/306673
- DOI: https://doi.org/10.4213/sm10115
- ID: 306673
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Abstract
Generalizations of the Hardy–Littlewood theorem to multiple trigonometric series with partially monotone coefficients are discussed.Bibliography: 8 titles.
About the authors
Dzhamilya Gumarovna Dzhumabaeva
L. N. Gumilyov Eurasian National University, Astana, Republic of Kazakhstan
Author for correspondence.
Email: jamilya_ast@mail.ru
Mikhail Ivanovich Dyachenko
Lomonosov Moscow State University, Moscow, Russia; Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia
Email: dyach@mail.ru
Doctor of physico-mathematical sciences, Professor
Erlan Dautbekovich Nursultanov
Kazakhstan Branch of Lomonosov Moscow State University, Astana, Republic of Kazakhstan
Email: er-nurs@yandex.kz
Doctor of physico-mathematical sciences, Professor
References
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- M. I. D'jachenko, “Multiple trigonometric series with lexicographically monotone coefficients”, Anal. Math., 16:3 (1990), 173–190
- М. И. Дьяченко, “Нормы ядер Дирихле и некоторых других тригонометрических полиномов в пространствах $L_p$”, Матем. сб., 184:3 (1993), 3–20
- Д. Г. Джумабаева, М. И. Дьяченко, Е. Д. Нурсултанов, “О сходимости кратных тригонометрических рядов с монотонными коэффициентами”, Сиб. матем. журн., 58:2 (2017), 270–280
- К. И. Бабенко, О сходимости в среднем кратных рядов Фурье и асимптотике ядра Дирихле сферических средних, Препринт ИПМ АН СССР № 52, М., 1971, 72 с.
- С. М. Никольский, Приближение функций многих переменных и теоремы вложения, 2-е изд., Наука, М., 1977, 455 с.
- Л. В. Жижиашвили, “О сходимости кратных тригонометрических рядов Фурье”, Сообщ. АН Груз. ССР, 80:1 (1975), 17–19
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