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In this paper we give some results concerning Frechet differentiable mappingsbetween domains in normed spaces with controlled growth. The results are mainlymotivated by Pavlovic's equality for the Bloch semi-norm of continuouslydifferentiable mappings in the Bloch class on the unit ball of the Euclideanspace as well as the very recent Jocic's generalization of this result.

Representations for the Bloch type semi-norm of Frechet differentiable mappings