Abstract:A class of weighted Hardy inequalities is treated. The sharp constants depend on the lowest eigenvalues of auxiliary Schrödinger operators on a sphere. In particular, for some block radial weights these sharp constants are given in terms of the lowest eigenvalue of a Legendre type equation.

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中文翻译：

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关于一类尖的乘法Hardy不等式

摘要：处理了一类加权Hardy不等式。尖锐常数取决于球上辅助Schrödinger算子的最低特征值。特别地，对于某些块径向权重，这些尖锐常数根据勒让德型方程的最低特征值给出。

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