Every rearrangement-invariant quasi-Banach function space is an interpolation space between two Lorentz spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908635811020800 |
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| author | Doktorski, Leo R. Ya. |
| author_facet | Doktorski, Leo R. Ya. |
| contents | We extend some results of Kwok-Pun Ho. In particular, it will be shown that every rearrangement-invariant quasi-Banach function space E on a totally sigma-finite measure space with a non-atomic measure can be expressed is the form E=F(L(p0,q0),L(p1,q1)) for an interpolation functor F, where the construction of the functor F is given based on the space E itself. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05096 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Every rearrangement-invariant quasi-Banach function space is an interpolation space between two Lorentz spaces Doktorski, Leo R. Ya. Functional Analysis 46A16, 46B70, 46E30 We extend some results of Kwok-Pun Ho. In particular, it will be shown that every rearrangement-invariant quasi-Banach function space E on a totally sigma-finite measure space with a non-atomic measure can be expressed is the form E=F(L(p0,q0),L(p1,q1)) for an interpolation functor F, where the construction of the functor F is given based on the space E itself. |
| title | Every rearrangement-invariant quasi-Banach function space is an interpolation space between two Lorentz spaces |
| topic | Functional Analysis 46A16, 46B70, 46E30 |
| url | https://arxiv.org/abs/2511.05096 |