M. I. Dyachenko, E. D. Nursultanov, A. M. Zhantakbayeva, “Hardy–Littlewood type theorems”, Eurasian Math. J., 2013, том 4, номер 2,страницы 140

Эта публикация цитируется в 3 статьях

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

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

Ключевые слова и фразы: Fourier coefficients, Fourier series, Hardy–Littlewood theorem.

MSC: 42B05, 42B08

Поступила в редакцию: 23.02.2013

Язык публикации: английский