Multilinear embedding theorem for fractional sparse operators
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866910146938011648 |
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| author | Hatano, Naoya Kawasumi, Ryota Saito, Hiroki Tanaka, Hitoshi |
| author_facet | Hatano, Naoya Kawasumi, Ryota Saito, Hiroki Tanaka, Hitoshi |
| contents | We show some simple sufficient conditions for which the multilinear embedding theorem holds for fractional sparse operators. By verifying these conditions, we establish the theorem for power weights. We also provide Morrey-type sufficient conditions for which the $L^p \to L^q$, $1<p,q<\infty$, infinitesimal relative bounds hold for Schrödinger operators of the form $(-Δ)^{α/2}+v$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17783 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multilinear embedding theorem for fractional sparse operators Hatano, Naoya Kawasumi, Ryota Saito, Hiroki Tanaka, Hitoshi Functional Analysis Classical Analysis and ODEs We show some simple sufficient conditions for which the multilinear embedding theorem holds for fractional sparse operators. By verifying these conditions, we establish the theorem for power weights. We also provide Morrey-type sufficient conditions for which the $L^p \to L^q$, $1<p,q<\infty$, infinitesimal relative bounds hold for Schrödinger operators of the form $(-Δ)^{α/2}+v$. |
| title | Multilinear embedding theorem for fractional sparse operators |
| topic | Functional Analysis Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2604.17783 |