Soit un domaine borné strictement pseudoconvexe dans à frontière régulière . On montre que tout compact d’une sous-variété de dont l’espace tangent en chaque point de est contenu dans le sous-espace complexe maximal de est un ensemble pic pour , la classe des fonctions analytiques dans dont toutes les dérivées sont continues dans .
Let be a bounded strictly pseudoconvex domain in with smooth boundary . Let be the class of functions analytic in and continuous with all their derivatives in . Let be a -submanifold of whose tangent space lies in the maximal complex subspace of , for every . In this work, we show that every compact subset of is a peak set for .
@article{AIF_1979__29_3_171_0, author = {Chaumat, Jacques and Chollet, Anne-Marie}, title = {Ensembles pics pour $A^\infty (D)$}, journal = {Annales de l'Institut Fourier}, pages = {171--200}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {29}, number = {3}, year = {1979}, doi = {10.5802/aif.757}, mrnumber = {81c:32036}, zbl = {0398.32004}, language = {fr}, url = {http://archive.numdam.org/articles/10.5802/aif.757/} }
TY - JOUR AU - Chaumat, Jacques AU - Chollet, Anne-Marie TI - Ensembles pics pour $A^\infty (D)$ JO - Annales de l'Institut Fourier PY - 1979 SP - 171 EP - 200 VL - 29 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.757/ DO - 10.5802/aif.757 LA - fr ID - AIF_1979__29_3_171_0 ER -
Chaumat, Jacques; Chollet, Anne-Marie. Ensembles pics pour $A^\infty (D)$. Annales de l'Institut Fourier, Tome 29 (1979) no. 3, pp. 171-200. doi : 10.5802/aif.757. http://archive.numdam.org/articles/10.5802/aif.757/
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