V. I. Burenkov, D. J. Joseph, “Inequalities for entire functions of exponential type in Morrey spaces”, Eurasian Math. J., 2022, том 13, номер 3,страницы 92

Эта публикация цитируется в 2 статьях

Short communications

Inequalities for entire functions of exponential type in Morrey spaces

V. I. Burenkov^ab, D. J. Joseph^a

^a S.M. Nikol'skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russian Federation
^b V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St, 117997 Moscow, Russian Federation

Аннотация: A detailed exposition of Bernstein's inequality, inequalities of different metrics and of different dimensions for entire functions of exponential type in Lebesgue spaces is given in the book of S.M. Nikol'skii [8]. In this paper, we state analogues of these inequalities in the Morrey spaces.

Ключевые слова и фразы: entire functions of exponential types, Morrey spaces, Bernstein's inequality, inequalities of different metrics and of different dimensions.

MSC: 34A55, 34B05, 58C40

Поступила в редакцию: 02.07.2022

Язык публикации: английский

DOI: 10.32523/2077-9879-2022-13-3-92-99