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Sharp affine Trudinger–Moser inequalities: A new argument
Canadian Mathematical Bulletin ( IF 0.5 ) Pub Date : 2020-10-22 , DOI: 10.4153/s0008439520000806
Nguyen Tuan Duy , Nguyen Lam , Phi Long Le

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.



中文翻译:

Sharp affine Trudinger-Moser 不等式:一个新的论证

我们在任意规范下建立了尖锐的 Trudinger-Moser 不等式。使用这个结果和 $L_{p}$ Busemann-Petty 质心不等式,我们将在不使用众所周知的仿射 Pólya-Szegö 不等式的情况下,为尖锐的仿射 Trudinger-Moser 不等式提供新的证明。

更新日期:2020-10-22
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