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重川 一郎 所属 京都産業大学 理学部 職種 客員教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2014/06/01 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Exponential convergence of Markovian semigroups and their spectra on L p-spaces |
| 執筆形態 | その他 |
| 掲載誌名 | Kyoto Journal of Mathematics |
| 出版社・発行元 | Duke University Press |
| 巻・号・頁 | 54(2),pp.367-399 |
| 著者・共著者 | Seiichiro Kusuoka,Ichiro Shigekawa |
| 概要 | Markovian semigroups on L2-space with suitable conditions can be regarded as Markovian semigroups on Lp-spaces for p ∈ [1,∞). When we additionally assume the ergodicity of the Markovian semigroups, the rate of convergence on Lp-space for each p is considerable. However, the rate of convergence depends on the norm of the space. The purpose of this paper is to investigate the relation between the rates on Lp-spaces for different p,s, to obtain some sufficient condition for the rates to be independent of p, and to give an example for which the rates depend on p.We also consider spectra of Markovian semigroups on L p-spaces, because the rate of convergence is closely related to the spectra. © 2014 by Kyoto University. |
| DOI | 10.1215/21562261-2642431 |
| ISSN | 2156-2261 |
| Put Code(ORCID) | 42717414 |
| PermalinkURL | http://www.scopus.com/inward/record.url?eid=2-s2.0-84902203954&partnerID=MN8TOARS |
| researchmap用URL | http://orcid.org/0000-0002-8865-8071 |