English

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

Functional Analysis 2024-11-20 v2

Abstract

We extend a classical result by Triebel on boundedness of bandlimited multipliers on Lp(Rn)L^p(\mathbb{R}^n), 0<p10<p\leq 1, to a vector-valued and matrix-weighted setting with boundedness of the bandlimited multipliers obtained on Lp(W)L^p(W), 0<p10<p\leq 1, for matrix-weights W:RnCN×NW:\mathbb{R}^n\rightarrow \mathbb{C}^{N\times N} that satisfies a matrix Muckenhoupt ApA_p-condition.

Keywords

Cite

@article{arxiv.2407.02895,
  title  = {On bandlimited multipliers on matrix-weighted $L^p$-spaces},
  author = {Morten Nielsen},
  journal= {arXiv preprint arXiv:2407.02895},
  year   = {2024}
}