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.
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Translated by S. V. Kislyakov.
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 503, 2021, pp. 22–56.
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Borovitsky, V.A., Kislyakov, S.V. Interpolation of Abstract Hardy-Type Spaces. J Math Sci 268, 750–772 (2022). https://doi.org/10.1007/s10958-022-06216-w
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DOI: https://doi.org/10.1007/s10958-022-06216-w