Boundary Harnack principle and Martin boundary for a uniform domain

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概要

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• We establish a uniform boundary Harnack principle for a uniform domain. As applications we study the Holder continuity of the ratios of positive harmonic functions, the Martin boundary and the Fatou theorem for a uniform domain.

• 社団法人 日本数学会の論文

著者

• Aikawa Hiroaki

  Department Of Mathematics Faculty Of Science Kumamoto University

• Aikawa Hiroaki

  Department Of Mathematics Shimane University

• AIKAWA Hiroaki

  Department of Mathematics Faculty of Engineering Gunma University

関連論文

• Martin boundary points of a John domain and unions of convex sets
• Boundary Harnack principle and Martin boundary for a uniform domain
• On the Martin boundary of Lipschitz strips
• Isometrical identities for the Bergman and the Szegö spaces on a sector
• Sets of determination for harmonic functions in an NTA domain

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