Pointwise inequalities for Sobolev functions on generalized cuspidal domains
نویسندگان
چکیده
Let \(\Omega\subset\mathbb{R}^{n-1}\) be a bounded star-shaped domain and \(\Omega_\psi\) an outward cuspidal with base \(\Omega\). We prove that for \(1<p\leq\infty\), \(W^{1, p}(\Omega_\psi)=M^{1,p}(\Omega_\psi)\) if only p}(\Omega)=M^{1, p}(\Omega)\).
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ژورنال
عنوان ژورنال: Annales Fennici Mathematici
سال: 2022
ISSN: ['2737-0690', '2737-114X']
DOI: https://doi.org/10.54330/afm.117881