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Hokkaido University Preprint Series in Mathematics >
DOUBLING CONDITIONS FOR HARMONIC MEASURE IN JOHN DOMAINS
| Title: | DOUBLING CONDITIONS FOR HARMONIC MEASURE IN JOHN DOMAINS |
| Authors: | Aikawa, Hiroaki Browse this author | | Hirata, Kentaro Browse this author |
| Keywords: | John domain | | semi-uniform domain | | inner semi-uniform domain | | harmonic measure | | doubling condition | | capacity density condition |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 796 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | We introduce new classes of domains, i.e., semi-uniform domains and inner emi-uniform domains. Both of them are intermediate between the class of John domains nd the class of uniform domains. Under the capacity density condition, we show that the armonic measure of a John domain D satisfies certain doubling conditions if and only if is a semi-uniform domain or an inner semi-uniform domain. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69604 |
| 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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