Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590313 | Journal of Functional Analysis | 2014 | 17 Pages |
Abstract
The Bloch space has been studied on the open unit disk of CC and some homogeneous domains of CnCn. We define Bloch functions on the open unit ball of a Hilbert space E and prove that the corresponding space B(BE)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 BEBE are also Bloch functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Oscar Blasco, Pablo Galindo, Alejandro Miralles,