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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 323, Pages 87–106
DOI: https://doi.org/10.4213/tm4361 (Mi tm4361) 		 
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
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DOI: https://doi.org/10.4213/tm4361
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.
Funding agency Grant number
Russian Science Foundation 19-11-00087
Ministry of Education and Science of Republic of Kazakhstan AP14869887
The research presented in Sections 1–3 was supported by the Russian Science Foundation under grant no. 19-11-00087, https://rscf.ru/en/project/19-11-00087/, and performed by the first author at the Steklov Mathematical Institute of Russian Academy of Sciences. The research presented in Sections 4 and 5 was supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (project no. AP14869887).
Received: April 20, 2023
Revised: July 5, 2023
Accepted: August 17, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 323, Pages 81–100
DOI: https://doi.org/10.1134/S008154382305005X
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: V. I. Burenkov, D. J. Joseph, “Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces”, Theory of Functions of Several Real Variables and Its Applications, Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday, Trudy Mat. Inst. Steklova, 323, Steklov Mathematical Institute of RAS, Moscow, 2023, 87–106; Proc. Steklov Inst. Math., 323 (2023), 81–100
Citation in format AMSBIB
\Bibitem{BurJos23}
\by V.~I.~Burenkov, D.~J.~Joseph
\paper Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces
\inbook Theory of Functions of Several Real Variables and Its Applications
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 323
\pages 87--106
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4361}
\crossref{https://doi.org/10.4213/tm4361}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 323
\pages 81--100
\crossref{https://doi.org/10.1134/S008154382305005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85186935257}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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