Generalized composition operators on QK,ω (p,q) spaces

Abstract

Purpose: Our aim in this paper is to study generalized composition operators on α- Bloch and QK,ω(p, q) spaces. Methods: By the help of generalized composition operators, we act between several classes of weighted function spaces. Some important results obtained by using modified Nevanlinna counting function. Results: The boundedness and compactness of the generalized composition operator C g φ acting between two different M ¨ obius invariant spaces QK1 (p, q) and QK2 (p, q) are studied. Conclusions: Our results in this paper extend, generalize and improve a lot of previous results.