Boundary Harnack principle and Martin boundary for a uniform domain

Authors
Aikawa, H
Citation
H. Aikawa, Boundary Harnack principle and Martin boundary for a uniform domain, J MATH JPN, 53(1), 2001, pp. 119-145
Citations number
24
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
ISSN journal
00255645 → ACNP
Volume
53
Issue
1
Year of publication
2001
Pages
119 - 145
Database
ISI
SICI code
0025-5645(200101)53:1<119:BHPAMB>2.0.ZU;2-K
Abstract
We establish a uniform boundary Harnack principle for a uniform domain. As applications we study the Holder continuity of the ratios of positive harmo nic functions, the Martin boundary and the Fatou theorem for a uniform doma in.