SwePub - search: WFRF:(Aikawa Hiroaki)

Enumeration	Reference	Cover	Find
1.	Aikawa, Hiroaki, 1956, et al. (author) MARTIN BOUNDARY FOR UNION OF CONVEX SETS 2002 In: 京都大学数理解析研究所, Potential Theory and Related Topics. ; 1293, s. 1-14 Journal article (peer-reviewed)abstract We study Martin boundary points of aproper subdomain in $\mathbb{R}^{n}$ , where $n$ $\geq 2$ , that can be represented as the union of open convex sets. Especially, we give acertain sufficient condition for aboundary point to have exactly one (minimal) Martin boundary point.
2.	Aikawa, Hiroaki, 1956, et al. (author) Martin boundary of a fractal domain 2003 In: Potential Analysis. - : Springer Science and Business Media LLC. - 0926-2601 .- 1572-929X. ; 18:4, s. 311-357 Journal article (peer-reviewed)abstract A uniformly John domain is a domain intermediate between a John domain and a uniform domain. We determine the Martin boundary of a uniformly John domain D as an application of a boundary Harnack principle. We show that a certain self-similar fractal has its complement as a uniformly John domain. In particular, the complement of the 3-dimensional Sierpinacuteski gasket is a uniform domain and its Martin boundary is homeomorphic to the Sierpinacuteski gasket itself.
3.	Aikawa, Hiroaki, 1956, et al. (author) The 3G inequality for a uniformly John domain 2004 Other publication (other academic/artistic)

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