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Estimates of the Besov norm on a bounded fractal lateral boundary and the boundedness of operators
http://hdl.handle.net/10083/2391
http://hdl.handle.net/10083/23918735424d-5099-427b-b216-a879d29faada
名前 / ファイル | ライセンス | アクション |
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KJ00004830789.pdf (1.1 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-04-30 | |||||
タイトル | ||||||
タイトル | Estimates of the Besov norm on a bounded fractal lateral boundary and the boundedness of operators | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Watanabe, Hisako
× Watanabe, Hisako |
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著者(ヨミ) | ||||||
識別子 | 70879 | |||||
識別子Scheme | WEKO | |||||
姓名 | ワタナベ, ヒサコ | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Consider a cylindrical domain Ω_D=D×(0, T), where D is a bounded domain with fractal boundary in R^d. Let μ be a λ-Holder continuous function on Ω_D with respect to the parabolic metric ρ. We estimate the Besov norm of the restriction of μ to S_D=∂D×[0, T] by the L^p(Ω_D)-norm of the sum of |▽_yμ(Y)|dist(Y, S_D)^<λ_1> and |D_<d+1>μ(Y)|dist(Y, S_D)^<λ_2> for suitable λ_1 and λ_2. We apply it to show the boundedness of an operator on the Besov space on S_D and use the result to prove the boundedness of the operator with respect to the double layer heat potentials. 2000 Mathematics Subject Classification : Primary 46E35, 31B15 | |||||
書誌情報 |
お茶の水女子大學自然科學報告 巻 56, 号 1, p. 9-33, 発行日 2005-09 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00298190 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00033958 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
形態 | ||||||
1099808 bytes | ||||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 400 | |||||
出版者 | ||||||
出版者 | お茶の水女子大学 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | 紀要論文 | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
03 |