Geodesic
Holomorphic functions of several complex variables with nonnegative real part. Traces of holomorphic and pluriharmonic functions on the Shilov boundary
Sbornik. Mathematics, Tome 28 (1976) no. 3, pp. 301-313 
L. A. Aizenberg; Sh. A. Dautov. Holomorphic functions of several complex variables with nonnegative real part. Traces of holomorphic and pluriharmonic functions on the Shilov boundary. Sbornik. Mathematics, Tome 28 (1976) no. 3, pp. 301-313. http://geodesic.mathdoc.fr/item/SM_1976_28_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For a certain class of domains, conditions are given which a continuous function $\varphi$ on the Shilov boundary $S$ of a domain $D$ must satisfy in order that there exist a holomorphic (pluriharmonic) function $f$ in $D$, continuous on $\overline D$ and such that $f|_S=\varphi$. Bibliography: 24 titles.

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