Uniform boundary Harnack principle and generalized triangle property

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• 作者：Wolfhard Hansen
• 关键词：Boundary Harnack principle ; Green function ; Generalized triangle property ; Quasi-metric property ; Approximation of Green function ; Comparison of Green functions ; Laplace operator ; Fractional Laplacian ; Riesz potentials ; Harnack chain ; Corkscrew condition
• 刊名：Journal of Functional Analysis
• 出版年：2005
• 出版时间：2005
• 年：2005
• 卷：226
• 期：2
• 页码：452-484
• 全文大小：379 K

文摘

Let D be a bounded open subset in , d2, and let G denote the Green function for D with respect to (-Δ)^α/2, 0<α2, α<d. If α<2, assume that D satisfies the interior corkscrew condition; if α