Vol.2 , No. 2, Publication Date: Apr. 21, 2015, Page: 17-26
[1] | Alaa Kamal, Faculty of Science, Department of Mathematics, Port Said University, Port Said, Egypt. |
[2] | T. I. Yassen, Faculty of Science, Department of Mathematics, Port Said University, Port Said, Egypt. |
In this paper,we define generalized hyperbolic function classes, we study the composition operator C_ϕ from Bloch-type B_α spaces to Q_(K,ω) spaces and from B_α^* spaces to Q_(K,ω)^* spaces. The criteria for these operator to be bounded or compact and Lipschitz continuous are given. Our study also includes the corresponding hyperbolic spaces.
Keywords
The Composition Operator, Hyperbolic Bloch-Type Spaces, Hyperbolic Spaces, Lipschitz Continuous
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