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arXiv · 1610.08747

Hyperbolicity and Vitali properties of unbounded domains in Banach spaces

Nguyen Quang Dieu·Nguyen Van Khiem·Le Thanh Hung
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Abstract

Let $\Om$ be a unbounded domain in a Banach space. In this work, we wish to impose {\it local conditions} on boundary point of $\Om$ (including the point at infinity) that guarantee complete hyperbolic of $\Om.$ We also search for local boundary conditions so that Vitali properties hold true for $\Om.$ These properties might be considered as analogues of the taut property in the finite dimensional case.

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Nguyen Quang Dieu, Nguyen Van Khiem, Le Thanh Hung. 2016-10-27. Hyperbolicity and Vitali properties of unbounded domains in Banach spaces. https://arxiv.org/abs/1610.08747

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