Work

Higher order perturbation estimates in quasi-Banach Schatten spaces through wavelets

Year: 2025

Type: article

Abstract: Let [Formula: see text]. Let [Formula: see text] and set the Hölder combination [Formula: see text]. Assume further that [Formula: see text] and that for the Hölder combinations of [Formula: see text] to [Formula: see text] and [Formula: see text] to [Formula: see text], we have [Formula: see text] Then there exists a constant [Formula: see text] such that for every [Formula: see text] with [Formula: see text] we have [Formula: see text] Here [Formula: see text] is the Schatten–von Neumann class, [Formula: see text] the homogeneous Besov space and [Formula: see text] is the multilinear Schur multiplier of the [Formula: see text]th order divided difference function. In particular, our result holds for [Formula: see text] and any [Formula: see text] with [Formula: see text].

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x26500096

Authors: Martijn Caspers, Emiel Huisman

Institution: Delft University of Technology

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Award: Non-commutative harmonic analysis and rigidity of operator algebras