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On distortion of quasiregular mappings of the upper half plane

Published 25 Nov 2024 in math.CV | (2411.16966v2)

Abstract: We prove a sharp result for the distortion of a hyperbolic type metric under $K$-quasiregular mappings of the upper half plane. The proof makes use of a new kind of Bernoulli inequality and the Schwarz lemma for quasiregular mappings.

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