Multiplication operators on the Bloch space of bounded homogeneous domains

Details Multiplication operators on the Bloch space of bounded homogeneous domains Multiplication operators on the Bloch space of bounded homogeneous domains

2009-02-19

arxiv.org/abs/0902.3473v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we study the multiplication operators on the Bloch space of a bounded homogeneous domain in C^n. Specifically, we characterize the bounded and the compact multiplication operators, establish estimates on the operator norm, and determine the spectrum. Furthermore, we prove that for a large class of bounded symmetric domains, the isometric multiplication operators are those whose symbol is a constant of modulus one.

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