Interpolation of derivatives and ultradifferentiable regularity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908360977154048 |
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| author | Rainer, Armin Schindl, Gerhard |
| author_facet | Rainer, Armin Schindl, Gerhard |
| contents | Interpolation inequalities for $C^m$ functions allow to bound derivatives of intermediate order $0 < j<m$ by bounds for the derivatives of order $0$ and $m$. We review various interpolation inequalities for $L^p$-norms ($1 \le p \le \infty$) in arbitrary finite dimensions. They allow us to study ultradifferentiable regularity by lacunary estimates in a comprehensive way, striving for minimal assumptions on the weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07020 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Interpolation of derivatives and ultradifferentiable regularity Rainer, Armin Schindl, Gerhard Functional Analysis Classical Analysis and ODEs Interpolation inequalities for $C^m$ functions allow to bound derivatives of intermediate order $0 < j<m$ by bounds for the derivatives of order $0$ and $m$. We review various interpolation inequalities for $L^p$-norms ($1 \le p \le \infty$) in arbitrary finite dimensions. They allow us to study ultradifferentiable regularity by lacunary estimates in a comprehensive way, striving for minimal assumptions on the weights. |
| title | Interpolation of derivatives and ultradifferentiable regularity |
| topic | Functional Analysis Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2312.07020 |