Morten Nielsen

activity

20242026

collaborators

3 papers

math.FA2026

Matrix-weighted Anisotropic Smoothness Spaces

Morten Nielsen

Given a quasi-norm on $R^{d}$ induced by a one-parameter dilation group, we consider matrix weights $W$ in an adapted Muckenhoupt class $A_{p}$ , $0 < p < \infty$ , and…

math.FA2025

Matrix $A_{p}$ -weights relative to a pseudo-metric

Morten Nielsen

Matrix weights satisfying a Muckenhoupt $A_{p}$ -condition relative to a family of anisotropic balls in $R^{d}$ defined by a pseudo-metric are studied. It is shown that such ma…

math.FA2024

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

Morten Nielsen

We extend a classical result by Triebel on boundedness of bandlimited multipliers on $L^{p} (R^{n})$ , $0 < p \leq 1$ , to a vector-valued and matrix-weighted setting with boundedne…

Matrix-weighted Anisotropic Smoothness Spaces

Matrix Ap​-weights relative to a pseudo-metric

On bandlimited multipliers on matrix-weighted Lp-spaces

Matrix $A_{p}$ -weights relative to a pseudo-metric

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