Cai, X. (2024, October 2). Affine logarithmic Hardy-Littlewood-Sobolev inequalities [Presentation]. Seminarvortrag am Institut für Mathematik der TU Berlin, TU Berlin, Germany.
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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Date (published):
2-Oct-2024
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Event name:
Seminarvortrag am Institut für Mathematik der TU Berlin
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Event date:
2-Oct-2024
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Event place:
TU Berlin, Germany
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Keywords:
Hardy-Littlewood-Sobolev inequality
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Abstract:
An affine logarithmic Hardy-Littlewood-Sobolev inequality for functions on Rn is established, that is the limiting case (α → n) of the recent affine Hardy-Littlewood-Sobolev inequalities by Ludwig and Haddad.
The new inequality is significantly stronger than the logarithmic HardyLittlewood-Sobolev inequality by Carlen and Loss from 1992. In addition, a new sharp affine inequality is established, that is the other limiting case (α → 0+) of the affine Hardy-Littlewood-Sobolev Inquality.
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Project title:
Anisotrope fraktionelle Perimeter und Riesz-Energien: P 37030-N (FWF - Österr. Wissenschaftsfonds)
