论文标题
最佳的Leray-trudinger不平等
The optimal Leray-Trudinger inequality
论文作者
论文摘要
我们在\ cite {mt}中填补了对数校正权重的最小指数，以使leray-trudinger不等式（请参见\ cite {pssp}）保持。我们的证明代替了\ cite {pssp}和\ cite {mt}中使用的表示公式，而是在\ cite {vzz}中使用球形谐波中的扩展。
We fill the gap left open in \cite{MT}, regarding the minimum exponent on the logarithmic correction weight so that the Leray-Trudinger inequality (see \cite{PsSp}) holds. Instead of the representation formula used in \cite{PsSp} and \cite{MT}, our proof uses expansion in spherical harmonics as in \cite{VzZ}.
