Disjoint and simultaneous hypercyclic Rolewicz-type operators

We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on c₀(N) and ℓ^p(N), p ∈ [1, ∞), which are a generalization of the unilateral backward shift operator. We show that disjoint hypercyclicity and disjoint supercyclicity are equivalent among a subfamily of these operators and disjoint hypercyclic unilateral Rolewicz-type operators always satisfy the Disjoint Hypercyclicity Criterion. We also characterize simultaneous hypercyclic unilateral Rolewicz-type operators on c₀(N) and ℓ^p(N), p ∈ [1, ∞).