D. G. Dzhumabaeva, M. I. Dyachenko, E. D. Nursultanov, “Multiple trigonometric series with partially monotone coefficients”, Mat. Sb., 2025, Volume 216, Number 1,Pages <nobr>79

Multiple trigonometric series with partially monotone coefficients

D. G. Dzhumabaeva^a, M. I. Dyachenko^bc, E. D. Nursultanov^d

^a L. N. Gumilyov Eurasian National University, Astana, Republic of Kazakhstan
^b Lomonosov Moscow State University, Moscow, Russia
^c Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia
^d Kazakhstan Branch of Lomonosov Moscow State University, Astana, Republic of Kazakhstan

Abstract: Generalizations of the Hardy–Littlewood theorem to multiple trigonometric series with partially monotone coefficients are discussed.
Bibliography: 8 titles.

Keywords: Pringsheim convergence, multiple trigonometric series with $k$-monotone coefficients, Hardy–Littlewood theorem.

MSC: 42B05

Received: 10.05.2024 and 07.08.2024

DOI: 10.4213/sm10115