Functional inequalities for some generalised Mehler semigroups
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866916184362844160 |
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| author | Angiuli, L. Ferrari, S. Pallara, D. |
| author_facet | Angiuli, L. Ferrari, S. Pallara, D. |
| contents | We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure $σ$, we prove functional integral inequalities with respect to $σ$, such as logarithmic Sobolev and Poincaré type. Consequently, some integrability properties of exponential functions with respect to $σ$ are deduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_04241 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Functional inequalities for some generalised Mehler semigroups Angiuli, L. Ferrari, S. Pallara, D. Analysis of PDEs Functional Analysis 35R15, 47D07, 60J60 We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure $σ$, we prove functional integral inequalities with respect to $σ$, such as logarithmic Sobolev and Poincaré type. Consequently, some integrability properties of exponential functions with respect to $σ$ are deduced. |
| title | Functional inequalities for some generalised Mehler semigroups |
| topic | Analysis of PDEs Functional Analysis 35R15, 47D07, 60J60 |
| url | https://arxiv.org/abs/2106.04241 |