Abstract
In the present article we demonstrate that the conclusion on the case of equality for the estimate of Schwarz–Pick type is a property of a distance-nonincreasing holomorphic mapping which is locally defined. Also, while considering existence of branch points, we deal with the topics in terms of the pseudo-hyperbolic distance.
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Ito, M.: Inequalities of Schwarz–Pick type with branch points and the pseudo-hyperbolic distance. Complex Var. Elliptic Equ. (to appear)
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Communicated by A. Constantin.
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Ito, M. Equality statements for Schwarz–Pick type estimates and the pseudo-hyperbolic distance. Monatsh Math 184, 105–113 (2017). https://doi.org/10.1007/s00605-016-0997-7
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DOI: https://doi.org/10.1007/s00605-016-0997-7