Dirichlet finite harmonic measures on topological balls

• NAKAI Mitsuru

  Department of Mathematics Nagoya Institute of Technology

抄録

Based upon an intuition from electrostatics one might suspect that there is no topological ball in Euclidean space of dimension d≥q 2 which carries a nonconstant Dirichlet finite harmonic measure. This guess is certainly true for d=2. However, contrary to the above intuition, it is shown in this paper that there does exist a topological ball in Euclidean space of every dimension d≥q 3 on which there exists a nonconstant Dirichlet finite harmonic measure.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 52 (3), 501-513, 2000

  一般社団法人 日本数学会

キーワード

• Condenser
• Dirichlet finite
• harmonic measure
• topological ball

詳細情報

• CRID: 1390282680093082880
• NII論文ID: 10004480391
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05230501
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1760601
• NDL書誌ID: 5475552
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5475552
• 本文言語コード: en
• データソース種別:
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  • NDL
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  • CiNii Articles
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