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Hokkaido University Preprint Series in Mathematics >
Martin boundary points of cones generated by spherical John regions
| Title: | Martin boundary points of cones generated by spherical John regions |
| Authors: | Hirata, Kentaro Browse this author |
| Keywords: | Martin boundary points | | cone | | quasi-hyperbolic metric | | John domain | | ordinary thinness | | minimal thinness | | boundary behavior |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 727 |
| Start Page: | 1 |
| End Page: | 11 |
| Abstract: | We study Martin boundary points of cones generated by spherical John regions. In particular, we show that such a cone has a unique (minimal) Martin boundary point at the vertex, and also at infinity. We also study a relation between ordinary thinness and minimal thinness, and the boundary behavior of positive superharmonic functions. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69535 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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