New criteria for the boundedness and the compactness of the generalized weighted composition operators from mixed norm spaces into Blochtype spaces are given in this paper.

We prove that in a large class of Banach spaces analytic functions the unit disc ⅅ an (unbounded) operator Af = G · f′ + g f with G, generates C0-semigroup weighted composition operators if and only it C0-semigroup. Particular instances such are classical Hardy spaces. Our result generalizes previous results this context is related to cocycles flows on Likewise, for non-separable X contained Bl...

In this current manuscript, some general classes of weighted analytic function spaces in a unit disc are defined and studied. Special functions significant both T(p,q,m,s;Ψ) norms Ψ-Bloch serve as framework for introducing new families classes. An application operator theory is provided by establishing important properties the composition-type Cϕ such boundedness compactness with help

We present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. We add new results and give a complete characterization of the isometric univalently induced composition operators acting between Bloch-type spaces. We also add few results on the closed-range determination of composition operators on Blo...

By using the concept of the weak subordination, we examine the stability a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination for a class of admissible functions in complex Banach spaces. The stability of analytic functions in the following classes is discussed: Bloch class, little Bloch class, hyperbolic little Bloch class, extend Bloch c...

in this paper, the notion of n, pn - summability to generalize the concept of statisticalconvergence is used. we call this new method weighted statistically convergence. we also establish itsrelationship with statistical convergence, c,1-summability and strong   n n, p -summability.