Boundary values of vector-valued functions in Orlicz-Hardy classes (Q1822011)
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scientific article; zbMATH DE number 4000747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary values of vector-valued functions in Orlicz-Hardy classes |
scientific article; zbMATH DE number 4000747 |
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Boundary values of vector-valued functions in Orlicz-Hardy classes (English)
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1987
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It is shown that the class of harmonic functions from the disc into a Banach space X belonging to the Orlicz-Hardy class is isomorphic to a class of vector-valued measures of bounded \(\Phi\)-variation. It is also proved that the Radon-Nikodym property is the condition to get functions in \(L^{\Phi}(X)\) as boundary limits of the functions in \(Har^{\Phi}(X)\).
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harmonic functions
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Orlicz-Hardy class
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vector-valued measures of bounded \(\Phi \)-variation
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Radon-Nikodym property
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