Abstract
AbstractGiven an affine symbol $$\varphi $$
φ
and a multiplier w, we focus on the weighted composition operator $$C_{w, \varphi }$$
C
w
,
φ
acting on the spaces Exp and $$Exp^0$$
E
x
p
0
of entire functions of exponential and of infraexponential type, respectively. We characterize the continuity of the operator and, for w the product of a polynomial by an exponential function, we completely characterize power boundedness and (uniform) mean ergodicity. In the case of multiples of composition operators, we also obtain the spectrum and characterize hypercyclicity.
Funder
Ministerio de Ciencia, Innovación y Universidades
Publisher
Springer Science and Business Media LLC
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