Record link: 
http://hdl.handle.net/20.500.12708/198614
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Title: 
Affine Hardy-Littlewood-Sobolev Inequalities
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Citation: 
Ludwig, M., & Haddad, J. (2024, May 5). Affine Hardy-Littlewood-Sobolev Inequalities [Presentation]. Colloquium at Zhejiang University of Science and Technology, Hangzhou, China. http://hdl.handle.net/20.500.12708/198614
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Publication Type: 
Presentation - Presentation
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Language: 
English
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Authors: 
Ludwig, Monika 
Haddad, Julián 
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Organisational Unit: 
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie 
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Date (published): 
5-May-2024
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Event name: 
Colloquium at Zhejiang University of Science and Technology 
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Event date: 
5-May-2024
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Event place: 
Hangzhou, China
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Keywords: 
Hardy-Littlewood-Sobolev inequality; log-concave functions; affine inequalities
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Abstract: 
Affine versions of the classical Hardy-Littlewood-Sobolev inequalities are discussed. They are stronger than the sharp Hardy-Littlewood-Sobolev inequalities by Lieb and by Beckner, Dou, and Zhu. In addition, sharp reverse inequalities of the new inequalities are described for log-concave functions. (Joint work with Juli\'an Haddad)
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Project title: 
Anisotrope fraktionelle Perimeter und Riesz-Energien: P 37030-N (FWF - Österr. Wissenschaftsfonds) 
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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