Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...

Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.

in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.

In this article, we mainly study the weighted composition-differentiation operator on Bergman space A?2 and derivative Hardy S12, which characterize complex symmetric Du,?. Moreover, normality self-adjointness of Du,? are also discussed.

We investigate composition-differentiation operators acting on the Dirichlet space of unit disk. Specifically, we determine characterizations for bounded, compact, and Hilbert-Schmidt operators. In addition, particular classes inducing maps, derive an adjoint formula, compute norm, identify spectrum.

In this paper we consider products of composition and differentiation operators on the Hardy spaces. We provide a complete characterization boundedness compactness these operators. M. Moradi Fatehi [1] obtain explicit condition for to be Hilbert-Schmidt have theoretical application with series perfect symbols.

Let C = (Cn)n∈N and D = (D)n∈N be families of composition and differentiation operators, respectively, i.e., Cnf = f ◦ φn, Df = f ′, where f is holomorphic on some domain Ω ⊆ C. Our main question is: How fast can a totally bounded set M of holomorphic functions, in other words a normal family, be approximated by the “orbit” {Cnf : n ∈ N} or {Df : n ∈ N} respectively, of one suitably constructed...