Bloch spaces on bounded symmetric domains in complex Banach spaces
Bloch functions on the unit disc in \(\mathbb C\) are classical and important functions. They have been generalized to other spaces, for example, bounded homogeneous domains in \(\mathbb C^n\), strongly pseudo-convex domains in \(\mathbb C^n\), the unit ball in a complex Hilbert space. The purpose of this paper is to define Bloch functions on bounded symmetric domains in complex Banach spaces and study some properties of such Bloch spaces. For example, it shows that they are Banach spaces and the composition operators are bounded.
scientific article; zbMATH DE number 5127956