Let H(D) denote the space of all holomorphic functions on the unit disk D of C. Let φ be a holomorphic self-map of D, n be a positive integer and g ∈ H(D). In this paper, we investigate the boundedness and compactness of a generalized integration operator

The main purpose of this paper is to develop some methods investigate the Schwarz type lemmas holomorphic mappings and pluriharmonic in Banach spaces. Initially, we extend classical spaces, then apply these extensions establish a sharp Bloch theorem for on homogeneous unit balls ℂn obtain boundary Furthermore, improve generalize planar harmonic into forms present applications Additionally, usin...

In this paper we study continuity, boundedness from below and compactness of composition operators between μ-Bloch spaces for very general weights μ.