On bandlimited multipliers on matrix-weighted $L^p$-spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909395430932480 |
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| author | Nielsen, Morten |
| author_facet | Nielsen, Morten |
| contents | We extend a classical result by Triebel on boundedness of bandlimited multipliers on $L^p(\mathbb{R}^n)$, $0<p\leq 1$, to a vector-valued and matrix-weighted setting with boundedness of the bandlimited multipliers obtained on $L^p(W)$, $0<p\leq 1$, for matrix-weights $W:\mathbb{R}^n\rightarrow \mathbb{C}^{N\times N}$ that satisfies a matrix Muckenhoupt $A_p$-condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On bandlimited multipliers on matrix-weighted $L^p$-spaces Nielsen, Morten Functional Analysis Primary 42A45, 47B37, Secondary 47B38 We extend a classical result by Triebel on boundedness of bandlimited multipliers on $L^p(\mathbb{R}^n)$, $0<p\leq 1$, to a vector-valued and matrix-weighted setting with boundedness of the bandlimited multipliers obtained on $L^p(W)$, $0<p\leq 1$, for matrix-weights $W:\mathbb{R}^n\rightarrow \mathbb{C}^{N\times N}$ that satisfies a matrix Muckenhoupt $A_p$-condition. |
| title | On bandlimited multipliers on matrix-weighted $L^p$-spaces |
| topic | Functional Analysis Primary 42A45, 47B37, Secondary 47B38 |
| url | https://arxiv.org/abs/2407.02895 |