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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 503, Pages 22–56 (Mi znsl7119)  
This article is cited in 1 scientific paper (total in 1 paper)

Interpolation of abstract spaces of Hardy type

V. A. Borovitskiy, S. V. Kislyakov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: Interpolation theorems are proved for Hardy-type spaces arising form certain uniform algebras more general than weak*-Dirichlet algebras. It is shown that, in a sense, the entire setting is not sensitive to the introduction of a weight. Some generalizations that model the case of two variables are also discussed.
Key words and phrases: $K$-closedness, regular weight, module, annihilator.
Funding agency Grant number
Russian Science Foundation 18-11-00053
Received: 18.10.2021
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. A. Borovitskiy, S. V. Kislyakov, “Interpolation of abstract spaces of Hardy type”, Investigations on linear operators and function theory. Part 49, Zap. Nauchn. Sem. POMI, 503, POMI, St. Petersburg, 2021, 22–56
Citation in format AMSBIB
\Bibitem{BorKis21}
\by V.~A.~Borovitskiy, S.~V.~Kislyakov
\paper Interpolation of abstract spaces of Hardy type
\inbook Investigations on linear operators and function theory. Part~49
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 503
\pages 22--56
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7119}
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  • https://www.mathnet.ru/eng/znsl/v503/p22
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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