Abstract In this paper we are focusing on functional inequalities on compact simple edge spaces. More precisely we address the question whether the classical functional inequalities (Sobolev, Poincare) hold in this setting, and as a by-product of our methods we obtain an optimality result concerning the B − constant of the Sobolev inequality.

中文翻译：

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简单边空间上的函数不等式

摘要 在本文中，我们关注紧凑简单边缘空间上的函数不等式。更准确地说，我们解决了经典函数不等式（Sobolev，Poincare）在这种情况下是否成立的问题，作为我们方法的副产品，我们获得了关于 Sobolev 不等式的 B - 常数的最优性结果。