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Matematicheskie Zametki, 2017, Volume 101, Issue 3, paper published in the English version journal (Mi mzm11274)  
This article is cited in 4 scientific papers (total in 4 papers)

Papers published in the English version of the journal

Classification of Toeplitz Operators on Hardy Spaces of Bounded Domains in the Plane

Y.-B. Chung

Department of Mathematics, Chonnam National University, Korea
Citations (4)
Abstract: We construct an orthonormal basis for the class of square integrable functions on bounded domains in the plane in terms of the classical kernel functions in potential theory. Then we generalize the results of Brown and Halmos about algebraic properties of Toeplitz operators and Laurent operators on the unit disc to general bounded domains. This is a complete classification of Laurent operators and Toeplitz operators for bounded domains.
Keywords: Toeplitz operator, Laurent operator, Hardy space, Ahlfors map, Szego kernel.
Received: 25.04.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 3, Pages 529–541
DOI: https://doi.org/10.1134/S0001434617030142
Bibliographic databases:
Document Type: Article
Language: English
Citation: Y.-B. Chung, “Classification of Toeplitz Operators on Hardy Spaces of Bounded Domains in the Plane”, Math. Notes, 101:3 (2017), 529–541
Citation in format AMSBIB
\Bibitem{Chu17}
\by Y.-B.~Chung
\paper Classification of Toeplitz Operators on Hardy Spaces of Bounded Domains in the Plane
\jour Math. Notes
\yr 2017
\vol 101
\issue 3
\pages 529--541
\mathnet{http://mi.mathnet.ru/mzm11274}
\crossref{https://doi.org/10.1134/S0001434617030142}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3646052}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018859204}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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