Interpolation of Abstract Hardy-Type Spaces

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 a...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 268; no. 6; pp. 750 - 772
Main Authors Borovitsky, V. A., Kislyakov, S. V.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2022
Springer
Springer Nature B.V
Subjects
Algebra
Dirichlet problem
Interpolation
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06216-w