We give sharp estimates for distortion of harmonic mappings u from the unit disc U into Rm, at a prescribed point by means of diameter and area of the corresponding surface S=u(U), and via the generalized length of the boundary of S.
Keywords: Harmonic and holomorphic functions · Hyperbolic distance · Schwarz lemma ·
Quasiconformal mappings · Diametar · Length · Area
Mathematics Subject Classification (2010) Primary 30C80 · Secondary 30F45
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