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Sharp affine Trudinger–Moser inequalities: A new argument
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AbstractWe 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.
Canadian Mathematical Society
Title: Sharp affine Trudinger–Moser inequalities: A new argument
Description:
AbstractWe 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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