Multiple trigonometric series with partially monotone coefficients
Dzhumabaeva D.G. Dyachenko M.I. Nursultanov E.D.
2025Steklov Mathematical Institute of Russian Academy of Sciences
Sbornik Mathematics
2025#216Issue 171 - 86 pp.
Generalizations of the Hardy–Littlewood theorem to multiple trigonometric series with partially monotone coefficients are discussed.
Hardy–Littlewood theorem , multiple trigonometric series with k-monotone coefficients , Pringsheim convergence
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L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
Lomonosov Moscow State University, Moscow, Russian Federation
Moscow Center of Fundamental and Applied Mathematics, Moscow, Russian Federation
Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan
L. N. Gumilyov Eurasian National University
Lomonosov Moscow State University
Moscow Center of Fundamental and Applied Mathematics
Kazakhstan Branch of Lomonosov Moscow State University
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