La distance de Caratheodory sur un produit continu de domaines bornes
Jean-Pierre Vigue
32F4546G20Carath\'eodory distanceinfinitesimal Carath\'eodory metric on continuous products of domainsdistance de Carath\'eodory
In this paper, I prove for the Carath\'eodory distance on a continuous product $B$ of domains $(B_{s})_{s \in S}$ the formula: $$c_{B}(f,g) = \max_{s \in S} c_{B_{s}}(f(s),g(s)).$$
Indiana University Mathematics Journal
2006
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10.1512/iumj.2006.55.2696
10.1512/iumj.2006.55.2696
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Indiana Univ. Math. J. 55 (2006) 895 - 902
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