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Pointwise inequalities for Sobolev functions on outward cuspidal domains

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

International Mathematics Research Notices（2020）

Cited 3|Views6
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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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Key words
sobolev functions,inequalities,domains
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