RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2023 Volume 323, Pages 87–106 (Mi tm4361)

This article is cited in 1 paper

Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces

V. I. Burenkovab, D. J. Josepha

a RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198 Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We prove analogs of Bernstein's inequalities and inequalities of different metrics and different dimensions for entire functions of exponential type. Such inequalities are well known for Lebesgue spaces. In this paper we prove them for Morrey spaces.

Keywords: entire functions of exponential type, integral inequalities, Morrey space.

UDC: 517.518

Received: April 20, 2023
Revised: July 5, 2023
Accepted: August 17, 2023

DOI: 10.4213/tm4361


 English version:
Proceedings of the Steklov Institute of Mathematics, 2023, 323, 81–100

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025