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arXiv · 1912.04555

Pointwise inequalities for Sobolev functions on outward cuspidal domains

Sylvester Eriksson-Bique·Pekka Koskela·Jan Maly·Zheng Zhu
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Abstract

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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Sylvester Eriksson-Bique, Pekka Koskela, Jan Maly, Zheng Zhu. 2019-12-10. Pointwise inequalities for Sobolev functions on outward cuspidal domains. https://doi.org/10.1093/imrn%2Frnaa279

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