TY - JOUR
T1 - HARDY–LITTLEWOOD–STEIN INEQUALITIES FOR DOUBLE TRIGONOMETRIC SERIES
AU - Nursultanov, Erlan D.
AU - Suragan, Durvudkhan
N1 - Publisher Copyright:
© 2023 Element D.O.O.. All rights reserved.
PY - 2023/1
Y1 - 2023/1
N2 - In the present paper, we obtain sharper analogues of the Hardy-Littlewood-Stein inequalities for double trigonometric series. We also establish a new unified version of the Hardy-Littlewood-Stein inequalities for Fourier series in regular systems, which covers the whole range 1 < p < ∞ including the critical case p = 2 .
AB - In the present paper, we obtain sharper analogues of the Hardy-Littlewood-Stein inequalities for double trigonometric series. We also establish a new unified version of the Hardy-Littlewood-Stein inequalities for Fourier series in regular systems, which covers the whole range 1 < p < ∞ including the critical case p = 2 .
KW - double trigonometric series
KW - Fourier series
KW - Hardy-Littlewood-Stein inequality
KW - Lorentz space
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U2 - 10.7153/mia-2023-26-01
DO - 10.7153/mia-2023-26-01
M3 - Article
AN - SCOPUS:85162117506
SN - 1331-4343
VL - 26
SP - 1
EP - 15
JO - Mathematical Inequalities and Applications
JF - Mathematical Inequalities and Applications
IS - 1
ER -