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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 | 2018/04/01 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Logarithmic Sobolev inequality and exponential convergence of a Markovian semigroup in the Zygmund space |
| 執筆形態 | その他 |
| 掲載誌名 | Entropy |
| 出版社・発行元 | MDPI AG |
| 巻・号・頁 | 20(4),pp.220 |
| 著者・共著者 | Ichiro Shigekawa |
| 概要 | We investigate the exponential convergence of a Markovian semigroup in the Zygmund space under the assumption of logarithmic Sobolev inequality. We show that the convergence rate is greater than the logarithmic Sobolev constant. To do this, we use the notion of entropy. We also give an example of a Laguerre operator.We determine the spectrum in the Orlicz space and discuss the relation between the logarithmic Sobolev constant and the spectral gap. |
| DOI | 10.3390/e20040220 |
| ISSN | 1099-4300 |
| Put Code(ORCID) | 44767083 |
| PermalinkURL | http://orcid.org/0000-0002-8865-8071 |