On introduit une notion d’ensemble négligeable dans un polydisque. On démontre l’existence de “bonnes” mesures sur un ensemble non-négligeable. On l’utilise pour construire des fonctions holomorphes “good” et “good inner” dans un polydisque.
A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.
@article{AIF_1979__29_2_211_0, author = {Gowrisankaran, Kohur}, title = {Negligible sets and good functions on polydiscs}, journal = {Annales de l'Institut Fourier}, volume = {29}, year = {1979}, pages = {211-222}, doi = {10.5802/aif.747}, mrnumber = {81a:32013}, zbl = {0412.31004}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1979__29_2_211_0} }
Gowrisankaran, Kohur. Negligible sets and good functions on polydiscs. Annales de l'Institut Fourier, Tome 29 (1979) pp. 211-222. doi : 10.5802/aif.747. http://gdmltest.u-ga.fr/item/AIF_1979__29_2_211_0/
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