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# Differential-free characterisation of smooth mappings with controlled growth

Published:2017-10-04

• Marijan Marković,
Faculty of Natural Sciences and Mathematics, University of Montenegro, Montenegro
 Format: LaTeX MathJax PDF

## 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
 MSC Classifications: 32A18 - Bloch functions, normal functions 30D45 - Bloch functions, normal functions, normal families

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