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Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 1, Pages 3–12
DOI: https://doi.org/10.4213/faa3481 (Mi faa3481) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Duhamel Algebras and Applications

M. T. Karaevab

a Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
b Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
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DOI: https://doi.org/10.4213/faa3481
Abstract: We introduce Duhamel algebras and study their properties and applications. We prove that a Banach space of analytic functions on the unit disc that satisfy certain conditions is a Duhamel algebra and describe its closed ideals. These results substantially generalize and improve the main results of Wigley's papers. Some other related questions are also discussed.
Keywords: Duhamel algebra, closed ideal, Hardy space, Banach space of analytic functions, invariant subspace.
Funding agency Grant number
King Saud University RGP-VPP-323
This work was financially supported by the Deanship of Scientific Research, King Saud University, in the framework of the Research Group Project no. RGP-VPP-323.
Received: 13.05.2016
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 1, Pages 1–8
DOI: https://doi.org/10.1007/s10688-018-0201-z
Bibliographic databases:
Document Type: Article
UDC: 917.98+512.55
Language: Russian
Citation: M. T. Karaev, “Duhamel Algebras and Applications”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 3–12; Funct. Anal. Appl., 52:1 (2018), 1–8
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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