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Eurasian Mathematical Journal, 2022, Volume 13, Number 3, Pages 92–99
DOI: https://doi.org/10.32523/2077-9879-2022-13-3-92-99 (Mi emj449) 		 
This article is cited in 5 scientific papers (total in 5 papers)

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Inequalities for entire functions of exponential type in Morrey spaces

V. I. Burenkovab, D. J. Josepha

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
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DOI: https://doi.org/10.32523/2077-9879-2022-13-3-92-99
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.
Funding agency Grant number
Russian Science Foundation 22-11-00042
The results in Sections 3-5 were obtained by the first author under the financial support of the Russian Science Foundation (project no. 22-11-00042, https://rscf.ru/project/22-11-00042/).
Received: 02.07.2022
Bibliographic databases:
Document Type: Article
MSC: 34A55, 34B05, 58C40
Language: English
Citation: V. I. Burenkov, D. J. Joseph, “Inequalities for entire functions of exponential type in Morrey spaces”, Eurasian Math. J., 13:3 (2022), 92–99
Citation in format AMSBIB
\Bibitem{BurJos22}
\by V.~I.~Burenkov, D.~J.~Joseph
\paper Inequalities for entire functions of exponential type in Morrey spaces
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 3
\pages 92--99
\mathnet{http://mi.mathnet.ru/emj449}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-3-92-99}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4494215}
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