Logarithmic sobolev inequalities and spectral gaps: Perturbation theory

Shigeki Aida; Ichiro Shigekawa

doi:10.1006/jfan.1994.1154

Logarithmic sobolev inequalities and spectral gaps: Perturbation theory

Shigeki Aida, Ichiro Shigekawa

理学研究科・数学専攻

研究成果: Article › 査読

24 被引用数 (Scopus)

抄録

We prove the logarithmic Sobolev inequality for a diffusion operator on the Wiener space. The operator we consider is a perturbation of the Ornstein-Uhlenbeck operator. We use the logarithmic Sobolev inequality for the Ornstein-Uhlenbeck operator. Our method is based on Dirichlet forms and it can be applied to more general diffusions.

本文言語	English
ページ（範囲）	448-475
ページ数	28
ジャーナル	Journal of Functional Analysis
巻	126
号	2
DOI	https://doi.org/10.1006/jfan.1994.1154
出版ステータス	Published - 1994 12月

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10.1006/jfan.1994.1154

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Logarithmic sobolev inequalities and spectral gaps: Perturbation theory

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