Finite Riesz products and Ornstein non-inequalities on quantum tori
Operator Algebras
2026-04-23 v1 Functional Analysis
Abstract
We demonstrate a construction of products on the quantum torus that generalises the usual construction of finite Riesz products on the commutative torus . We explain why the former constitutes a natural analogue of the latter in the non-commutative setting and, based on this construction, as well as on previous results by K. Kazaniecki and the second author, we prove a non-commutative version of an Ornstein non-inequality.
Keywords
Cite
@article{arxiv.2604.20774,
title = {Finite Riesz products and Ornstein non-inequalities on quantum tori},
author = {Christos P. Tantalakis and Michał Wojciechowski},
journal= {arXiv preprint arXiv:2604.20774},
year = {2026}
}