An Infinite Dimensional Vector Space of Universal Functions for H ∞ of the Ball
Canadian mathematical bulletin, Tome 50 (2007) no. 2, pp. 172-181
Voir la notice de l'article provenant de la source Cambridge
We show that there exists a closed infinite dimensional subspace of ${{H}^{\infty }}\left( {{B}^{n}} \right)$ such that every function of norm one is universal for some sequence of automorphisms of ${{B}^{n}}$ .
Aron, Richard; Gorkin, Pamela. An Infinite Dimensional Vector Space of Universal Functions for H ∞ of the Ball. Canadian mathematical bulletin, Tome 50 (2007) no. 2, pp. 172-181. doi: 10.4153/CMB-2007-018-2
@article{10_4153_CMB_2007_018_2,
author = {Aron, Richard and Gorkin, Pamela},
title = {An {Infinite} {Dimensional} {Vector} {Space} of {Universal} {Functions} for {H} \ensuremath{\infty} of the {Ball}},
journal = {Canadian mathematical bulletin},
pages = {172--181},
year = {2007},
volume = {50},
number = {2},
doi = {10.4153/CMB-2007-018-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-018-2/}
}
TY - JOUR AU - Aron, Richard AU - Gorkin, Pamela TI - An Infinite Dimensional Vector Space of Universal Functions for H ∞ of the Ball JO - Canadian mathematical bulletin PY - 2007 SP - 172 EP - 181 VL - 50 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-018-2/ DO - 10.4153/CMB-2007-018-2 ID - 10_4153_CMB_2007_018_2 ER -
%0 Journal Article %A Aron, Richard %A Gorkin, Pamela %T An Infinite Dimensional Vector Space of Universal Functions for H ∞ of the Ball %J Canadian mathematical bulletin %D 2007 %P 172-181 %V 50 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-018-2/ %R 10.4153/CMB-2007-018-2 %F 10_4153_CMB_2007_018_2
Cité par Sources :