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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 784–791
DOI: https://doi.org/10.33048/semi.2022.19.065 (Mi semr1564) 		 
Real, complex and functional analysis

Some remarks on differential operators in the classes of I.I. Privalov

F. A. Shamoyana, N. M. Makhinab

a Saratov State University, Astrakhanskaya st., 83, 410012, Saratov, Russia
b Bryansk State University, Bezhitskaya st., 14, 241036, Bryansk, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.065
Abstract: In this paper we consider the invariance of Privalov classes with respect to the differentiation operator. We prof a necessary and sufficient condition for the invariance of a plane weighted Privalov classes in the unit disc and we have expanded the indicated results for an any bounded domain on the complex plane.
Keywords: Privalov class, differentiation operator, Whitney decomposition.
Received June 23, 2022, published November 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30E05, 30H99
Language: Russian
Citation: F. A. Shamoyan, N. M. Makhina, “Some remarks on differential operators in the classes of I.I. Privalov”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 784–791
Citation in format AMSBIB
\Bibitem{ShaMak22}
\by F.~A.~Shamoyan, N.~M.~Makhina
\paper Some remarks on differential operators in the classes of I.I. Privalov
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 784--791
\mathnet{http://mi.mathnet.ru/semr1564}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4518793}
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