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arxiv: 1805.08821 · v1 · pith:TDNWWVJKnew · submitted 2018-05-22 · 🧮 math.CV · math.AP· math.CA

Caratheodory convergence and harmonic measure

classification 🧮 math.CV math.APmath.CA
keywords convergencecaratheodorycasecharacterizationsconnecteddefinitionsdifferentdomains
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We give several new characterizations of Caratheodory convergence of simply connected domains. We then investigate how different definitions of convergence generalize to the multiply-connected case.

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