Harmonic Bloch and BMO functions on the unit ball in several variables (Q1124007)
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scientific article; zbMATH DE number 4111029
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic Bloch and BMO functions on the unit ball in several variables |
scientific article; zbMATH DE number 4111029 |
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Harmonic Bloch and BMO functions on the unit ball in several variables (English)
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1988
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The author shows that the Banach spaces \(B_ H(D_ n)\) of harmonic Bloch functions on the unit ball \(D_ n\) in \({\mathbb{R}}^ n\) (n\(\geq 2)\) and \(BMO_ p\) of harmonic functions of bounded p-mean oscillation are homeomorphic. This generalizes results by Coifman, Rochberg, Weiss and by Gotoh (quoted in the paper). The proof is probabilistic and makes use of the Itô formula.
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BMO-functions
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harmonic Bloch functions
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