Boundary Harnack principle and Martin boundary for a uniform domain Dedicated to Professor Maretsugu Yamasaki on the occasion of his 60th birthday

Hiroaki AIKAWA

doi:10.2969/jmsj/05310119

Abstract

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.

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Proceedings of the Physico-Mathematical Society of Japan. 3rd Series

Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series

Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo

Tokyo Sugaku-Butsurigakkwai Hokoku

Tokyo Sugaku-Butsurigaku Kwai Kiji

Tokyo Sugaku Kaisya Zasshi

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