a1 Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany (email: firstname.lastname@example.org)
Let and ψ be analytic self-maps of the open unit disk. Each of them induces a composition operator, C and Cψ respectively, acting between weighted Bergman spaces of infinite order. We show that the difference C−Cψ is compact if and only if both operators are compact or both operators are not compact and the pseudohyperbolic distance of the functions and ψ tends to zero if ∣(z)∣→1 or ∣ψ(z)∣→1.
(Received June 07 2007)
2000 Mathematics subject classification
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