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Some inequalities for the Poincaré metric of plane domains

✍ Scribed by Toshiyuki Sugawa; Matti Vuorinen


Publisher
Springer-Verlag
Year
2005
Tongue
French
Weight
247 KB
Volume
250
Category
Article
ISSN
0025-5874

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Let D be a bounded strictly convex domain in Euclidean n-space equipped with its Hilbert metric h(x; y). It is shown that as the points x and y of D approach distinct points on the boundary of D, for any a in D the sum h(x; a) + h(a; y) is asymptotic to h(x; y).

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