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Sharp affine Trudinger–Moser inequalities: A new argument
Published online by Cambridge University Press: 22 October 2020
Abstract
We set up the sharp Trudinger–Moser inequality under arbitrary norms. Using this result and the
$L_{p}$
Busemann-Petty centroid inequality, we will provide a new proof to the sharp affine Trudinger–Moser inequalities without using the well-known affine Pólya–Szegö inequality.
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- © Canadian Mathematical Society 2020
Footnotes
P.L.L. is corresponding author.
References
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