Hypercyclic tuples of the adjoint of the weighted composition operators.

An n-tuple of commuting operators, (T₁,T₂, , ...,T_n) on a Hilbert space H is said to be hypercyclic, if there exists a vector x ∈ H such that the set {T₁ ^k₁T₂^k₂ ...T _n ^k _n x : k _i ≥ 0, i =1, 2, ...n} is dense in H. In this paper, we give sufficient conditions under which the adjoint of an n-tuple of a weighted composition operator on a Hilbert space of analytic functions is hypercyclic. [ABSTRACT FROM AUTHOR]