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Comparison estimates for the Green function and the Martin kernel
| Title: | Comparison estimates for the Green function and the Martin kernel |
| Authors: | Hirata, Kentaro Browse this author |
| Keywords: | Green function | | Martin kernel | | uniform domain |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 726 |
| Start Page: | 1 |
| End Page: | 11 |
| Abstract: | A comparison estimate for the product of the Green function and the Martin kernel is given in a uniform domain. As its application, we show the equivalence of ordinary thinness and minimal thinness of a set contained in a non-tangential cone. We also give a comparison estimate for the Martin kernels with distinct singularities. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69534 |
| 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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