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},
pages = {235--277},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {16},
number = {1},
year = {1966},
doi = {10.5802/aif.231},
mrnumber = {33 #6440},
zbl = {0152.13202},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.231/}
}
TY - JOUR AU - Rubel, Lee A. AU - Shields, A. L. TI - The space of bounded analytic functions on a region JO - Annales de l'Institut Fourier PY - 1966 SP - 235 EP - 277 VL - 16 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.231/ DO - 10.5802/aif.231 LA - en ID - AIF_1966__16_1_235_0 ER -
%0 Journal Article %A Rubel, Lee A. %A Shields, A. L. %T The space of bounded analytic functions on a region %J Annales de l'Institut Fourier %D 1966 %P 235-277 %V 16 %N 1 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.231/ %R 10.5802/aif.231 %G en %F 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) no. 1, pp. 235-277. doi : 10.5802/aif.231. http://www.numdam.org/articles/10.5802/aif.231/
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