Weighted classes of quaternion-valued functions (Q437734)
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scientific article; zbMATH DE number 6058298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted classes of quaternion-valued functions |
scientific article; zbMATH DE number 6058298 |
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Weighted classes of quaternion-valued functions (English)
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18 July 2012
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Some results on holomorphic functions on the complex unit disk are extended to hyperholomorphic quaternionic functions on the unit ball in three dimensions. The main result is the equality between the space \(F(p,q,s)\) and the quaternionic alpha-Bloch space \(B(3(q+2)/2p)\). In the complex setting, the corresponding result, which is \(F(p,q,s)=B((q+2)/p)\), is due to \textit{R.-H. Zhao} [Annales Academiae Scientiarum Fennicae. Mathematica. Dissertationes. 105. Helsinki: Suomalainen Tiedeakatemia (1996; Zbl 0851.30017)].
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quaternion analysis
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Bloch space
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\(F(q,p,s)\) space
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