In this note, we obtain a simpler expression for the constant number given by Costin–Maz’ya on the sharp Hardy–Leray inequality for a class of solenoidal (namely divergence-free) vector fields, with respect to any radial power-weighted measure. The dependence of the constant on the weight exponent will be clear.

中文翻译：

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Costin-Maz'ya常数在Hardy-Leray不等式中具有权重的更简单表达式

在本说明中，对于任何径向功率加权量度，我们针对一类螺线管（即无散度）矢量场的柯辛-马兹亚在尖锐的哈迪-雷利不等式上给出的常数，得到了一个更简单的表达式。常数对重量指数的依赖性将是清楚的。