The Stein-Tomas inequality in trace ideals
Rupert L. Frank, Julien Sabin (LMO)
TL;DR
This paper reviews recent advancements in extending Stein-Tomas and Strichartz inequalities to trace ideals, which are Schatten spaces, highlighting new theoretical developments in harmonic analysis.
Contribution
It introduces recent generalizations of classical inequalities to the setting of trace ideals, expanding their applicability in analysis.
Findings
New inequalities established in trace ideal settings
Connections between harmonic analysis and Schatten spaces clarified
Potential applications in PDEs and quantum mechanics discussed
Abstract
The goal of this review is to explain some recent results regarding generalizations of the Stein-Tomas (and Strichartz) inequalities to the context of trace ideals (Schatten spaces).
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Advanced Operator Algebra Research