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arxiv: 1601.03836 · v1 · pith:VPLFCQIDnew · submitted 2016-01-15 · 🧮 math.CV

Discrete sequences in unbounded domains

classification 🧮 math.CV
keywords boundeddomainboundarydiscretedistancepseudoconvexsequencesstrongly
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Discrete sequences with respect to the Kobayashi distance in a strongly pseudoconvex bounded domain $D$ are related to Carleson measures by a formula that uses the Euclidean distance from the boundary of $D$. Thus the speed of escape at the boundary of such sequence has been studied in details for strongly pseudoconvex bounded domain $D$. In this note we show that such estimations completely fail if the domain is not bounded.

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