Pointwise inequalities for Sobolev functions on outward cuspidal domains

Eriksson-Bique Sylvester,Koskela Pekka,Maly Jan,Zhu Zheng

International Mathematics Research Notices（2020）

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摘要

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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