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A formula for the Bloch norm of a C 1-function on the unit ball of ℂn

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Abstract

For a C 1-function f on the unit ball \( \mathbb{B} \) ⊂ ℂn we define the Bloch norm by \( \left\| f \right\|_\mathfrak{B} = \sup \left\| {\tilde df} \right\| \), where \( \tilde df \) is the invariant derivative of f, and then show that

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References

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Correspondence to Miroslav Pavlović.

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Supported by MNZŽS Serbia, Project No. 144010.

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Pavlović, M. A formula for the Bloch norm of a C 1-function on the unit ball of ℂn . Czech Math J 58, 1039–1043 (2008). https://doi.org/10.1007/s10587-008-0066-z

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  • DOI: https://doi.org/10.1007/s10587-008-0066-z

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