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Logarithmic Sobolev Inequality and Exponential Convergence of a Markovian Semigroup in the Zygmund Space
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...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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MDPI
2018
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512736/ https://www.ncbi.nlm.nih.gov/pubmed/33265311 http://dx.doi.org/10.3390/e20040220 |