Abstract
We establish a uniform boundary Harnack principle for a uniform domain. As applications we study the Hölder continuity of the ratios of positive harmonic functions, the Martin boundary and the Fatou theorem for a uniform domain.
Citation
Hiroaki AIKAWA. "Boundary Harnack principle and Martin boundary for a uniform domain." J. Math. Soc. Japan 53 (1) 119 - 145, January, 2001. https://doi.org/10.2969/jmsj/05310119
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