This article is cited in 5 papers

Short communications

Inequalities for entire functions of exponential type in Morrey spaces

V. I. Burenkov^ab, D. J. Joseph<sup>a

a</sup> 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

Abstract: 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.

Keywords and phrases: entire functions of exponential types, Morrey spaces, Bernstein's inequality, inequalities of different metrics and of different dimensions.

MSC: 34A55, 34B05, 58C40

Received: 02.07.2022

Language: English

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

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