Schwarz-Pick estimates for holomorphic mappings with values in homogeneous ball (Q1938267)
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scientific article; zbMATH DE number 6134140
| Language | Label | Description | Also known as |
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| English | Schwarz-Pick estimates for holomorphic mappings with values in homogeneous ball |
scientific article; zbMATH DE number 6134140 |
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Schwarz-Pick estimates for holomorphic mappings with values in homogeneous ball (English)
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4 February 2013
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Summary: Let \(B_X\) be the unit ball in a complex Banach space \(X\). Assume that \(B_X\) is homogeneous. A generalization of the Schwarz-Pick estimates for partial derivatives of arbitrary order is established for holomorphic mappings from the unit ball \(\mathbb B^n\) to \(B_X\) associated with the Carathéodory metric, which extends the corresponding results of Chen and Liu, Dai et al.
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Schwarz-Pick estimates
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holomorphic mappings with values in a Banach space
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