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Sib. Èlektron. Mat. Izv., 2017, Volume 14, Pages 163–177 (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

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


DOI: https://doi.org/10.17377/semi.2017.14.017

Full text: PDF file (193 kB)
References: PDF file   HTML file

UDC: 517.53
MSC: 30J05,30J10
Received June 26, 2016, published March 6, 2017

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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