ISSN: 2375-3927
International Journal of Mathematical Analysis and Applications  
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Some Properties of Composition Operator Acting Between General Hyperbolic Type Spaces
International Journal of Mathematical Analysis and Applications
Vol.2 , No. 2, Publication Date: Apr. 21, 2015, Page: 17-26
1622 Views Since April 21, 2015, 940 Downloads Since Apr. 21, 2015
 
 
Authors
 
[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.

 
Abstract
 

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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