A generalized version of Holmstedt's formula for the K-functional
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916307873562624 |
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| author | Ahmed, Irshaad Fiorenza, Alberto Gogatishvili, Amiran |
| author_facet | Ahmed, Irshaad Fiorenza, Alberto Gogatishvili, Amiran |
| contents | Let $(A_0, A_1)$ be a compatible couple of quasi-normed spaces, and let $Φ_0$ and $Φ_1$ be two general parameters of $K$-interpolation method. We compute $K$-functional for the couple $((A_0,A_1)_{Φ_0}, (A_0, A_1)_{Φ_1})$ in terms of $K$-functional for the couple $(A_0, A_1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A generalized version of Holmstedt's formula for the K-functional Ahmed, Irshaad Fiorenza, Alberto Gogatishvili, Amiran Functional Analysis 46B70 Let $(A_0, A_1)$ be a compatible couple of quasi-normed spaces, and let $Φ_0$ and $Φ_1$ be two general parameters of $K$-interpolation method. We compute $K$-functional for the couple $((A_0,A_1)_{Φ_0}, (A_0, A_1)_{Φ_1})$ in terms of $K$-functional for the couple $(A_0, A_1)$. |
| title | A generalized version of Holmstedt's formula for the K-functional |
| topic | Functional Analysis 46B70 |
| url | https://arxiv.org/abs/2407.01043 |