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 in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-12, Vol.268 (6), p.750-772
Main Authors: Borovitsky, V. A., Kislyakov, S. V.
Format: Article
Language:English
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