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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 163–177
DOI: https://doi.org/10.17377/semi.2017.14.017 (Mi semr776) 		 
Real, complex and functional analysis

Toeplitz operators in Sobolev spaces of analytic functions and applications

F. A. Shamoyan, V. A. Bednazh

Bryansk State University, Bezhitskaya Str., 14, 241036, Bryansk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.017
Abstract: A complete description of the integrable functions $ h $ on the unit circle, for which the Toeplitz operator with symbol $ h $ is a bounded operator in weighted spaces of Sobolev type of analytic functions in a disc. An application is also installed results in matters of the factorization of analytic functions.
Keywords: Teoplitz operator, inner functions, linear functional, unit disc.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1704.2014K
Received June 26, 2016, published March 6, 2017
Document Type: Article
UDC: 517.53
MSC: 30J05,30J10
Language: Russian
Citation: F. A. Shamoyan, V. A. Bednazh, “Toeplitz operators in Sobolev spaces of analytic functions and applications”, Sib. Èlektron. Mat. Izv., 14 (2017), 163–177
Citation in format AMSBIB
\Bibitem{ShaBed17}
\by F.~A.~Shamoyan, V.~A.~Bednazh
\paper Toeplitz operators in Sobolev spaces of analytic functions and applications
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 163--177
\mathnet{http://mi.mathnet.ru/semr776}
\crossref{https://doi.org/10.17377/semi.2017.14.017}
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