On harmonic functions and the hyperbolic metric

Marijan Markovic

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arXiv · 1307.4006

On harmonic functions and the hyperbolic metric

Marijan Markovic

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Abstract

Motivated by some recent results of Kalaj and Vuorinen (Proc. Amer. Math. Soc., 2012), we prove that positive harmonic functions defined in the upper half--plane are contractions w.r.t. hyperbolic metrics of half--plane and positive part of the real line, respectively

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Marijan Markovic. 2014-03-04. On harmonic functions and the hyperbolic metric. https://arxiv.org/abs/1307.4006

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