On Fine Limits and Curving-Shaped Limits

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• 作者：Jiongqi Wu
• 关键词：fine limit ; p ; capacity ; non ; tangential limit ; ; harmonic function ; boundary behavior
• 刊名：Southeast Asian Bulletin of Mathematics
• 出版年：2000
• 出版时间：July 2000
• 年：2000
• 卷：24
• 期：3
• 页码：481-489
• 全文大小：64 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer-Verlag HongKong Ltd.
• ISSN：0219-175X

文摘

This paper studies the boundary behavior of the so-called SIH-functions, i.e., the functions satisfying the scale invariant Harnack inequality on a domain D RN (N 2). Suppose that D contains a curving-cone at a point D and u is a SIH-function on D. Then u has a curving-shaped limit L at , if u has a -fine limit (especially, a p-fine limit in the sense of [6] or an -fine limit in the sense of the Riesz potential theory [4]) L at .