Difference of composition operators in the Polydiscs

Details Difference of composition operators in the Polydiscs Difference of composition operators in the Polydiscs

2007-09-10

arxiv.org/abs/0709.1430v1

Mathematics

Functional Analysis

9 pages

Scientific paper

This paper gives some simple estimates of the essential norm for the difference of composition operators induced by $\phi$ and $\psi$ acting on bounded function space in the unit polydiscs $U^n$, where $\phi(z)$ and $\psi(z)$be holomorphic self-maps of $U^n$. As its applications, a characterization of compact difference is given for composition operators acting on the bounded function spaces.

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