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Extremal pairs of
Young's inequality for Kac algebras
Zhengwei Liu and Jinsong Wu |
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Vol. 295 (2018), No. 1, 103–121
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Abstract |
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In this paper, we prove a sum set estimate and the exact sum set theorem for unimodular Kac algebras. Combining the characterization of minimizers of the Donoso–Stark uncertainty principle and the Hirschman–Beckner uncertainty principle, we characterize the extremal pairs of Young’s inequality and extremal operators of the Hausdorff–Young inequality for unimodular Kac algebras. |
Keywords
Young's inequality, Kac algebras, sum set, uncertainty
principles
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Mathematical Subject Classification 2010
Primary: 46L89, 58B32
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Milestones
Received: 14 April 2017
Revised: 16 December 2017
Accepted: 18 December 2017
Published: 13 March 2018
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Authors |
| Zhengwei Liu | |
| Department of Mathematics and
Department of Physics Harvard University Cambridge, MA United States |
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| Jinsong Wu | |
| Institute for Advanced Study in
Mathematics Harbin Institute of Technology Harbin, 150001 China |
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