<div class="csl-bib-body">
<div class="csl-entry">Cai, X. (2024, October 2). <i>Affine logarithmic Hardy-Littlewood-Sobolev inequalities</i> [Presentation]. Seminarvortrag am Institut für Mathematik der TU Berlin, TU Berlin, Germany.</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/203936
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dc.description.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.
