Orlicz Space Interpolation and Its Applications to Operator Convolution

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Wolfram Bauer, Robert Fulsche, Joachim Toft
DOI: 10.48550/arxiv.2602.19164
Cited by: 0

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.

Fields of Study & Subjects

Advanced Operator Algebra Research Advanced Harmonic Analysis Research Advanced Banach Space Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
22 February 2026
Language
EN
Document type
Preprint