Nonstandard Calderón-type theorems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914255400337408 |
|---|---|
| author | Kubíček, David |
| author_facet | Kubíček, David |
| contents | We establish Calderón-type theorems for operators bounded on nonstandard end-point Lorentz spaces \begin{equation*} T\colon L^{p_0, q_0}\to L^{p_1, q_1}\quad\text{and}\quad T\colon L^{q, 1}\to L^\infty \end{equation*} and the improvement of target spaces which is intimately connected with this. The emphasis will be placed on the cases $q_0=q_1$ and $q_1=\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06826 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonstandard Calderón-type theorems Kubíček, David Functional Analysis 46E30, 46B70, 47G10 (Primary) 47B38, 47A30 (Secondary) We establish Calderón-type theorems for operators bounded on nonstandard end-point Lorentz spaces \begin{equation*} T\colon L^{p_0, q_0}\to L^{p_1, q_1}\quad\text{and}\quad T\colon L^{q, 1}\to L^\infty \end{equation*} and the improvement of target spaces which is intimately connected with this. The emphasis will be placed on the cases $q_0=q_1$ and $q_1=\infty$. |
| title | Nonstandard Calderón-type theorems |
| topic | Functional Analysis 46E30, 46B70, 47G10 (Primary) 47B38, 47A30 (Secondary) |
| url | https://arxiv.org/abs/2512.06826 |