L’espace des fonctions analytiques bornées sur une région peut être muni de plusieurs topologies différentes. Deux topologies faibles sont étudiées ici. L’une est celle appelée topologie stricte et l’autre la topologie faible étoilée. Le principal outil nouveau est une espèce de balayage ou ramonage.
@article{AIF_1966__16_1_235_0,
author = {Rubel, Lee A. and Shields, A. L.},
title = {The space of bounded analytic functions on a region},
journal = {Annales de l'Institut Fourier},
volume = {16},
year = {1966},
pages = {235-277},
doi = {10.5802/aif.231},
mrnumber = {33 \#6440},
zbl = {0152.13202},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1966__16_1_235_0}
}
Rubel, Lee A.; Shields, A. L. The space of bounded analytic functions on a region. Annales de l'Institut Fourier, Tome 16 (1966) pp. 235-277. doi : 10.5802/aif.231. http://gdmltest.u-ga.fr/item/AIF_1966__16_1_235_0/
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