Two‐sided bounds for the efficiency of the torsion function are obtained in terms of the square of the distance to the boundary function under the hypothesis that the Dirichlet Laplacian satisfies a strong Hardy inequality. Localization properties of the torsion function are obtained under that hypothesis. An example is analyzed in detail.

中文翻译：

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扭转函数的局部化和强哈德不等式

在Dirichlet Laplacian满足强Hardy不等式的假设下，根据到边界函数的距离的平方，获得了扭转函数效率的两个边界。在该假设下获得了扭转函数的定位特性。详细分析一个例子。