Orlicz Space Interpolation and Its Applications to Operator Convolution
Functional Analysis
2026-02-24 v1
Abstract
We prove a strong-type interpolation result for noncommutative Orlicz spaces over semifinite von Neumann algebras. Based on this result, we obtain Young-type convolution estimates for the Weyl pseudodifferential symbols of operators in appropriate Orlicz-Schatten spaces. Equivalently, we prove convolution estimates of Young type for Werner's function-operator convolutions in quantum harmonic analysis.
Cite
@article{arxiv.2602.19164,
title = {Orlicz Space Interpolation and Its Applications to Operator Convolution},
author = {Wolfram Bauer and Robert Fulsche and Joachim Toft},
journal= {arXiv preprint arXiv:2602.19164},
year = {2026}
}
Comments
26 pages