On compactness and $L^p$-regularity in the $\overline{\partial}$-Neumann problem
| Autor: | Sahutoglu, Sonmez, Zeytuncu, Yunus E. |
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| Rok vydání: | 2020 |
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| Zdroj: | Bull. Lond. Math. Soc. 53, 2021, no. 5 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/blms.12502 |
| Popis: | Let $\Omega$ be a $C^4$-smooth bounded pseudoconvex domain in $\mathbb{C}^2$. We show that if the $\overline{\partial}$-Neumann operator $N_1$ is compact on $L^2_{(0,1)}(\Omega)$ then the embedding operator $\mathcal{J}:Dom(\overline{\partial})\cap Dom(\overline{\partial}^*) \to L^2_{(0,1)}(\Omega)$ is $L^p$-regular for all $2\leq p<\infty$. Comment: Minor changes. To appear in Bull. Lond. Math. Soc |
| Databáze: | arXiv |
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