Young's inequality for locally compact quantum groups
Zhengwei Liu, Simeng Wang, Jinsong Wu
TL;DR
This paper extends Young's inequality to the setting of locally compact quantum groups, exploring extremal pairs and functions related to Hausdorff-Young inequality, advancing the mathematical understanding of quantum harmonic analysis.
Contribution
It generalizes Young's inequality to locally compact quantum groups and investigates extremal pairs and functions, a novel extension in quantum harmonic analysis.
Findings
Generalized Young's inequality for quantum groups
Identified extremal pairs in the quantum setting
Analyzed extremal functions of Hausdorff-Young inequality
Abstract
In this paper, we generalize Young's inequality for locally compact quantum groups and obtain some results for extremal pairs of Young's inequality and extremal functions of Hausdorff-Young inequality.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Banach Space Theory · Functional Equations Stability Results