On bandlimited multipliers on matrix-weighted $L^p$-spaces

Morten Nielsen

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arXiv · 2407.02895

On bandlimited multipliers on matrix-weighted $L^p$-spaces

Morten Nielsen

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Abstract

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.

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Morten Nielsen. 2024-07-03. On bandlimited multipliers on matrix-weighted $L^p$-spaces. https://arxiv.org/abs/2407.02895

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