We give a sufficient condition for two operators to be disjointly frequently hypercyclic. apply this criterion composition acting on H(D) or the Hardy space H2(D). simplify result disjoint frequent hypercyclicity of pseudo shifts recent paper Martin et al. and we exhibit hypercyclic weighted shifts.

Let $$\Omega \subset {\mathbb {C}}^n$$ be a smooth bounded pseudoconvex domain and $$A^2 (\Omega )$$ denote its Bergman space. $$P:L^2(\Omega )\longrightarrow A^2(\Omega the projection. For measurable $$\varphi :\Omega \longrightarrow \Omega $$ , projected composition operator is defined by $$(K_\varphi f)(z) = P(f \circ \varphi )(z), z \in f\in A^2 ).$$ In 1994, Rochberg studied boundedness of...

Abstract Given a holomorphic self-map $\varphi $ of $\mathbb {D}$ (the open unit disc in {C}$ ), the composition operator $C_{\varphi } f = \circ \varphi , $f \in H^2(\mathbb {\mathbb {D}})$ defines bounded linear on Hardy space $H^2(\mathbb . The model spaces are backward shift-invariant closed subspaces which canonically associated with inner functions. In this paper, we study that invariant ...