Let be a closed polar subset of a domain in . We give a complete description of the pluripolar hull of the graph of a holomorphic function defined on . To achieve this, we prove for pluriharmonic measure certain semi-continuity properties and a localization principle.
Soit sous-ensemble fermé polaire d’un domaine de . On donne une description complète de l’enveloppe pluripolaire du graphe d’une fonction holomorphe définie sur . Pour achever ce résultat on prouve des propriétés de semi-continuité et un principe de localisation de mesure pluriharmonique.
Keywords: Plurisubharmonic function, pluripolar hull, complete pluripolar set, pluriharmonic measure, graph of holomorphic function
Mot clés : fonction plurisousharmonique, enveloppe pluripolaire, ensemble pluricomplète, mesure pluriharmonique, graphe de fonction holomorphe
Edigarian, Armen 1; Wiegerinck, Jan 
@article{AIF_2004__54_6_2085_0, author = {Edigarian, Armen and Wiegerinck, Jan}, title = {Determination of the pluripolar hull of graphs of certain holomorphic functions}, journal = {Annales de l'Institut Fourier}, pages = {2085--2104}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {54}, number = {6}, year = {2004}, doi = {10.5802/aif.2075}, zbl = {1083.32009}, mrnumber = {2134233}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2075/} }
TY - JOUR AU - Edigarian, Armen AU - Wiegerinck, Jan TI - Determination of the pluripolar hull of graphs of certain holomorphic functions JO - Annales de l'Institut Fourier PY - 2004 SP - 2085 EP - 2104 VL - 54 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2075/ DO - 10.5802/aif.2075 LA - en ID - AIF_2004__54_6_2085_0 ER -
%0 Journal Article %A Edigarian, Armen %A Wiegerinck, Jan %T Determination of the pluripolar hull of graphs of certain holomorphic functions %J Annales de l'Institut Fourier %D 2004 %P 2085-2104 %V 54 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2075/ %R 10.5802/aif.2075 %G en %F AIF_2004__54_6_2085_0
Edigarian, Armen; Wiegerinck, Jan. Determination of the pluripolar hull of graphs of certain holomorphic functions. Annales de l'Institut Fourier, Volume 54 (2004) no. 6, pp. 2085-2104. doi : 10.5802/aif.2075. https://aif.centre-mersenne.org/articles/10.5802/aif.2075/
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