Geodesic
A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 387-414.

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The main purpose of this article is to give a generalization of the logarithmic-type estimate in the Hardy-Sobolev spaces $H^{k,p}(G)$; $k \in {\mathbb N}^*$, $1 \leq p \leq \infty $ and $G$ is the open unit disk or the annulus of the complex space $\mathbb C$.
DOI : 10.21136/CMJ.2018.0466-16
Classification : 30C40, 30H10, 35R30
Keywords: annular domain; Poisson kernel; Hardy-Sobolev space; logarithmic estimate 
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     title = {A generalization to the {Hardy-Sobolev} spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate},
     journal = {Czechoslovak Mathematical Journal},
     pages = {387--414},
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Feki, Imed; Massoudi, Ameni; Nfata, Houda. A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 387-414. doi : 10.21136/CMJ.2018.0466-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0466-16/

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