Frequently Hypercyclic Composition Operators on The Little Lipschitz Space of A Rooted Tree

We characterize the strictly increasing symbols φ :N₀ N₀ φ : N 0 ⟶ N 0 whose composition operators Cφ C φ satisfy the Frequent Hypercyclicity Criterion on the little Lipschitz space L₀(N₀) L 0 ( N 0 ) . With this result we continue the recent research about this kind of spaces and operators, but our approach relies on establishing a natural isomorphism between the Lipschitz-type spaces over rooted trees and the classical spaces ∞ ℓ ∞ and c₀ c 0 . Such isomorphism provides an alternative framework that simplifies and allows to improve many previous results about these spaces and the operators defined there.