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Journal of the Australian Mathematical Society - Series A
Vol. 64 Part 1 (1998)

Composition operators between weighted Banach spaces of analytic functions

J. Bonet
and
P. Domanski
and
M. Lindström
and
J. Taskinen

Abstract:

We characterize those analytic self-maps $\varphi$ of the unit disc which generate bounded or compact composition operators $C_\varphi$ between given weighted Banach spaces $H^\infty_v$ or $H^0_v$ of analytic functions with the weighted sup-norms. We characterize also those composition operators which are bounded or compact with respect to all reasonable weights v.

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© Copyright 1998, Australian Mathematical Society
Greg Lewis
1998-02-18