外斜域上Sobolev函数的点态不等式

S. Eriksson-Bique, P. Koskela, J. Malý, Zheng Zhu
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引用次数: 2

摘要

我们证明了斜对称域上的一阶Sobolev空间可以用点向不等式来表征。特别是,它们与Hajlasz-Sobolev空间重合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pointwise Inequalities for Sobolev Functions on Outward Cuspidal Domains
We show that the first order Sobolev spaces on cuspidal symmetric domains can be characterized via pointwise inequalities. In particular, they coincide with the Hajlasz-Sobolev spaces.
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