The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929708011094016 |
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| author | Corni, Francesca Ferrari, Fausto |
| author_facet | Corni, Francesca Ferrari, Fausto |
| contents | In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fractional sub-Laplacian in the Heisenberg group, and as a byproduct we compute the $k$-th order momenta with respect to the heat kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17387 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation Corni, Francesca Ferrari, Fausto Analysis of PDEs 35R03, 35R11 In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fractional sub-Laplacian in the Heisenberg group, and as a byproduct we compute the $k$-th order momenta with respect to the heat kernel. |
| title | The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation |
| topic | Analysis of PDEs 35R03, 35R11 |
| url | https://arxiv.org/abs/2310.17387 |