The Martin Boundary of Nta Strips
The Martin Boundary of Nta Strips
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DOI：
10.1112/blms/22.2.163
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发表时间：
1990-03
影响因子：
0.9
通讯作者：
S. Gardiner
中科院分区：
文献类型：
--
作者：
S. Gardiner
In [2] Brawn showed that the Martin boundary of the strip IRn x (0, 1), where n^ 1, comprises its Euclidean boundary together with a set of points' at infinity'which can be identified with the unit sphere in IRn. Aikawa [1] showed that this result remains true for Un x D, where D is a Lipschitz domain in Um, m^ 1. In this paper we give a short proof of Aikawa's result.(In fact, we will consider slightly more general domains D.)Points of Un x Um will be denoted by X=(X', X"); in particular, O=(Of, O") denotes the origin. We use E, dE,\X\,(X, Y) to denote respectively the closure and boundary of a set E, the norm of X, and the usual inner product of X and Y, in the
