Multiple trigonometric series with~partially monotone coefficients
Sbornik. Mathematics, Tome 216 (2025) no. 1, pp. 71-86
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{SM_2025_216_1_a3,
author = {D. G. Dzhumabaeva and M. I. Dyachenko and E. D. Nursultanov},
title = {Multiple trigonometric series with~partially monotone coefficients},
journal = {Sbornik. Mathematics},
pages = {71--86},
publisher = {mathdoc},
volume = {216},
number = {1},
year = {2025},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2025_216_1_a3/}
}
TY - JOUR AU - D. G. Dzhumabaeva AU - M. I. Dyachenko AU - E. D. Nursultanov TI - Multiple trigonometric series with~partially monotone coefficients JO - Sbornik. Mathematics PY - 2025 SP - 71 EP - 86 VL - 216 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2025_216_1_a3/ LA - en ID - SM_2025_216_1_a3 ER -
D. G. Dzhumabaeva; M. I. Dyachenko; E. D. Nursultanov. Multiple trigonometric series with~partially monotone coefficients. Sbornik. Mathematics, Tome 216 (2025) no. 1, pp. 71-86. http://geodesic.mathdoc.fr/item/SM_2025_216_1_a3/