2019-03-22T14:09:35Zhttp://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1262062017-02-20T23:48:11Zcom_10234_7037com_10234_9col_10234_8635
00925njm 22002777a 4500
dc
Blasco de la Cruz, Oscar
author
Galindo Pastor, Pablo
author
Miralles Montolío, Alejandro
author
2015-07-03
The Bloch space has been studied on the open unit disk of C and some homogeneous domains of Cn. We define Bloch functions on the open unit ball of a Hilbert space E and prove that the corresponding space B(BE) is invariant under composition with the automorphisms of the ball, leading to a norm that — modulo the constant functions — is automorphism invariant as well. All bounded analytic functions on BE are also Bloch functions.
0022-1236
http://hdl.handle.net/10234/126206
10.1016/j.jfa.2014.04.018
Bloch function
Infinite dimensional holomorphy
Bloch functions on the unit ball of an infinite dimensional Hilbert space