Geodesic
Pointwise inequalities for Sobolev functions on generalized cuspidal domains
Zheng Zhu1
1 University of Jyväskylä, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 47 (2022) no. 2, pp. 747-757.

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Let $\Omega\subset\mathbb{R}^{n-1}$ be a bounded star-shaped domain and $\Omega_\psi$ be an outward cuspidal domain with base domain $\Omega$. We prove that for $1, $W^{1, p}(\Omega_\psi)=M^{1,p}(\Omega_\psi)$ if and only if $W^{1, p}(\Omega)=M^{1, p}(\Omega)$.  
DOI : 10.54330/afm.117881
Keywords: Sobolev functions, cuspidal domains, pointwise inequality

Zheng Zhu 1

1 University of Jyväskylä, Department of Mathematics and Statistics 
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Zheng Zhu. Pointwise inequalities for Sobolev functions on generalized cuspidal domains. Annales Fennici Mathematici, Tome 47 (2022) no. 2, pp. 747-757. doi : 10.54330/afm.117881. http://geodesic.mathdoc.fr/articles/10.54330/afm.117881/

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