M. I. Dyachenko, E. D. Nursultanov, A. M. Zhantakbayeva, “Hardy–Littlewood type theorems”, Eurasian Math. J., 2013, Volume 4, Number 2,Pages <nobr>140

This article is cited in 3 papers

Short communications

Hardy–Littlewood type theorems

M. I. Dyachenko^a, E. D. Nursultanov^b, A. M. Zhantakbayeva^c

^a Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow 119992, Russia
^b Kazakh branch of M. V. Lomonosov Moscow State University, 2 Mirzoyan St., 010008 Astana, Kazakhstan
^c L. N. Gumilyov Eurasian National University, 2 Mirzoyan St., 010008 Astana, Kazakhstan

Abstract: In this paper we state new theorems of Hardy–Littlewood type for functions with general monotone Fourier coefficients. Sharpness of stated results is discussed.

Keywords and phrases: Fourier coefficients, Fourier series, Hardy–Littlewood theorem.

MSC: 42B05, 42B08

Received: 23.02.2013

Language: English