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Differential-free characterisation of smooth mappings with controlled growth

  • Marijan Marković,
    Faculty of Natural Sciences and Mathematics, University of Montenegro, Montenegro
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Abstract

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 Bloch type space, Lipschitz type space, Holland-Walsh characterisation, hyperbolic distance, analytic function, Mobius transform
MSC Classifications: 32A18, 30D45 show english descriptions Bloch functions, normal functions
Bloch functions, normal functions, normal families
32A18 - Bloch functions, normal functions
30D45 - Bloch functions, normal functions, normal families
 

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