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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 1, Pages 57–64
DOI: https://doi.org/10.26907/0021-3446-2022-1-57-64 (Mi ivm9743) 		 
Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients

A. N. Karapetyantsa, I. Yu. Smirnovab

a Southern Federal University, 105/42 B. Sadovaya str., Rostov-on-Don, 344006 Russia
b Don State Technical University, 1 Gagarina Sq., Rostov-on-Don, 344010 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-1-57-64
Abstract: The purpose of this paper is to study a certain class of functional sequences and apply the results obtained to the description of functional spaces of analytic functions with mixed norm on the unit disk of the complex plane, defined in terms of conditions on the Fourier coefficients.
Keywords: spaces with mixed norm, spaces of analytic functions.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-46003_a
Ministry of Science and Higher Education of the Russian Federation 075–02-2022-893
Received: 03.04.2021
Revised: 28.06.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 1, Pages 46–52
DOI: https://doi.org/10.3103/S1066369X22010042
Document Type: Article
UDC: 517.53
Language: Russian
Citation: A. N. Karapetyants, I. Yu. Smirnova, “Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 1, 57–64; Russian Math. (Iz. VUZ), 66:1 (2022), 46–52
Citation in format AMSBIB
\Bibitem{KarSmi22}
\by A.~N.~Karapetyants, I.~Yu.~Smirnova
\paper Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 1
\pages 57--64
\mathnet{http://mi.mathnet.ru/ivm9743}
\crossref{https://doi.org/10.26907/0021-3446-2022-1-57-64}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 1
\pages 46--52
\crossref{https://doi.org/10.3103/S1066369X22010042}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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