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Search: MSC category 30D45 ( Bloch functions, normal functions, normal families )

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Marković, Marijan
Differential-free characterisation of smooth mappings with controlled growth
In this paper we give some generalizations and improvements of the Pavlović result on the Holland-Walsh type characterization of the Bloch space of continuously differentiable (smooth) functions in the unit ball in $\mathbf{R}^m$.

Keywords:Bloch type space, Lipschitz type space, Holland-Walsh characterisation, hyperbolic distance, analytic function, Mobius transform
Categories:32A18, 30D45

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