Approximation and Interpolation in Kolmogorov-type groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913198317240320 |
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| author | Pesce, Antonello |
| author_facet | Pesce, Antonello |
| contents | We prove a real interpolation characterization for some non Euclidean Hölder spaces, built on the Lie structure induced by a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander condition. As a by-product we also obtain an approximation property for intrinsically regular functions on the whole space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_05340 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Approximation and Interpolation in Kolmogorov-type groups Pesce, Antonello Analysis of PDEs Functional Analysis 35D99, 35K65, 35H10, 46M35 We prove a real interpolation characterization for some non Euclidean Hölder spaces, built on the Lie structure induced by a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander condition. As a by-product we also obtain an approximation property for intrinsically regular functions on the whole space. |
| title | Approximation and Interpolation in Kolmogorov-type groups |
| topic | Analysis of PDEs Functional Analysis 35D99, 35K65, 35H10, 46M35 |
| url | https://arxiv.org/abs/2205.05340 |