Abstract
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 \(1<p\leq\infty\), \(W^{1, p}(\Omega_\psi)=M^{1,p}(\Omega_\psi)\) if and only if \(W^{1, p}(\Omega)=M^{1, p}(\Omega)\).
Publisher
Finnish Mathematical Society
Cited by
1 articles.
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