| Autor: |
Caetano, António, Hewett, David P., Moiola, Andrea |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
J. Funct. Anal., 281(3), 2021, 109019 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jfa.2021.109019 |
| Popis: |
We investigate two density questions for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets. Our main results, stated in the simplest Sobolev space setting, are that: (i) for an open set $\Omega\subset\mathbb R^n$, $\mathcal{D}(\Omega)$ is dense in $\{u\in H^s(\mathbb R^n):{\rm supp}\, u\subset \overline{\Omega}\}$ whenever $\partial\Omega$ has zero Lebesgue measure and $\Omega$ is "thick" (in the sense of Triebel); and (ii) for a $d$-set $\Gamma\subset\mathbb R^n$ ($0Comment: 38 pages, 6 figures |
| Databáze: |
arXiv |
| Externí odkaz: |
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