Abstract
We present uniform and pointwise estimates for various ratios of the hyperbolic, quasihyperbolic and Möbius metrics. We determine when these ratios are constant. We exhibit numerous illustrative examples.
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The first and third authors were supported by the Charles Phelps Taft Research Center.
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Herron, D.A., Ma, W. & Minda, D. Estimates for Conformal Metric Ratios. Comput. Methods Funct. Theory 5, 323–345 (2006). https://doi.org/10.1007/BF03321101
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DOI: https://doi.org/10.1007/BF03321101