An operator T acting on a separable F-space X is called hypercyclic if there exists f∈ X such
that the orbit {T nf} is dense in X. Here we determine when an operator that λ-commutes with …

In the recent study, we utilize a differential-difference operator in a complex domain to define
some new classes of analytic functions. A modification of the differential-difference operator …

A continuous linear operator L defined on the space of entire functions H (C) is said to be an
extended λ-eigenoperator of the differentiation operator D provided DL= λ LD. Here we fully …

Abstract For the Dunkl operator\Lambda_ α\,\,(α>-1/2) Λ α (α>-1/2) on the space of entire
functions on the complex space CC, the critical rate of growth for the integral means M_p (f …

A continuous linear operator T defined on a Fréchet space X is said to be hypercyclic if there
exists f∈ X such that, the orbit {T nf} is dense in X. In this article, we consider the operators …

A continuous linear operator L defined on the space of entire functions H (C) is said to be an
extended λ-eigenoperator of the differentiation operator D provided DL= λLD. Here we fully …

We study hypercyclicity properties of a family of non-convolution operators defined on the
spaces of entire functions on ℂ N. These operators are a composition of a differentiation …

In this article we study the hypercyclic behavior of non-convolution operators defined on
spaces of analytic functions of different holomorphy types over Banach spaces. The …

En este trabajo se establecen tasas de crecimiento de funciones que resultan hipercíclicas
o frecuentemente hipercíclicas para una clase importante de operadores de no convolución …

En este trabajo se establecen tasas de crecimiento de funciones que resultan hipercíclicas
o frecuentemente hipercíclicas para una clase importante de operadores de no convolución …