Topological and dynamical properties of composition operators
Tesfa Mengestie,
Werkaferahu Seyoum
Abstract:We study various properties of composition operators acting between generalized Fock spaces F p ϕ and F q ϕ with weight functions ϕ grow faster than the classical Gaussian weight function 1 2 |z| 2 and satisfy some mild smoothness conditions. We have shown that if p = q, then the composition operator C ψ : F p ϕ → F q ϕ is bounded if and only if it is compact. This result shows a significance difference with the analogous result for the case when C ψ acts between the classical Fock spaces or generalized Fock s… Show more
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