Title of article :
Generalized composition operators on QK,ω(p, q) spaces
Author/Authors :
Ahmed, Ahmed El-Sayed Sohag University - Faculty of Science - Department of Mathematics, Egypt , Ahmed, Ahmed El-Sayed Majmaah University - Faculty of Science and Humanities - Department of Mathematics, Saudi Arabia , Kamal, Alaa Taif University - Faculty of Science - Mathematics Department, Saudi Arabia , Kamal, Alaa Port Said University - Faculty of Science - Department of Mathematics, Egypt
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 ø acting between two different Möbius 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.
Keywords :
QK , ω(p , q) spaces , Holomorphic functions , and Weighted Bloch space
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
