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Representations for the Bloch type semi-norm of Frechet differentiable mappings (2103.09332v1)

Published 16 Mar 2021 in math.CV

Abstract: In this paper we give some results concerning Frechet differentiable mappings between domains in normed spaces with controlled growth. The results are mainly motivated by Pavlovic's equality for the Bloch semi-norm of continuously differentiable mappings in the Bloch class on the unit ball of the Euclidean space as well as the very recent Jocic's generalization of this result.

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