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Boundary behavior of quotients of Martin kernels
| Title: | Boundary behavior of quotients of Martin kernels |
| Authors: | Hirata, Kentaro Browse this author |
| Keywords: | boundary behavior | | Martin kernel | | minimal thinness |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 725 |
| Start Page: | 1 |
| End Page: | 10 |
| Abstract: | Given two intersecting domains, we investigate the boundary behavior of the quotient of Martin kernels of each domain. To this end, we give a characterization of the minimal thinness for a difference of two subdomains in terms of Martin kernels of each domain. As a consequence of our main theorem (Theorem 2.1), we obtain the boundary growth of the Martin kernel of a Lipschitz domain, which corresponds to earlier results for the boundary decay of the Green function for a Lipschitz domain investigated by Burdzy, Carroll and Gardiner. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69533 |
| 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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