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Hypercyclic behavior of some non-convolution operators on $H(\mathbb{C}^N)$ (1505.04731v1)
Published 18 May 2015 in math.FA, math.CV, and math.DS
Abstract: We study hypercyclicity properties of a family of non-convolution operators defined on spaces of holomorphic functions on $\mathbb{C}N$. These operators are a composition of a differentiation operator and an affine composition operator, and are analogues of operators studied by Aron and Markose on $H(\mathbb{C})$. The hypercyclic behavior is more involved than in the one dimensional case, and depends on several parameters involved.