Bloch functions on the unit ball of an infinite dimensional Hilbert space
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Other documents of the author: Blasco de la Cruz, Oscar; Galindo Pastor, Pablo; Miralles Montolío, Alejandro
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Bloch functions on the unit ball of an infinite dimensional Hilbert spaceDate
2015-07-03xmlui.dri2xhtml.METS-1.0.item-edition
Pre-printISSN
0022-1236Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0022123614001888Version
info:eu-repo/semantics/sumittedVersionAbstract
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 ... [+]
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. [-]
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Journal of Functional Analysis, 2014, 267.4: 1188-1204Rights
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- MAT_Articles [766]