Composition Operators in Hyperbolic Bloch-Type and F p , q , s Spaces

Composition operators C φ from Bloch-type ℬ α spaces to F p , q , s classes, from F p , q , s to ℬ α , and from F p 1 , q 1 , 0 to F p 2 , q 2 , s 2 are considered. The criteria for these operators to be bounded or compact are given. Our study also includes the corresponding hyperbolic spaces....

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Bibliographic Details
Published in:Abstract and applied analysis 2014-01, Vol.2014 (2014), p.1-10
Main Authors: Kotilainen, Marko, Pérez-González, Fernando
Format: Article
Language:English
Subjects:
Colleges & universities
Mathematical problems
Power plants
Probability
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Summary:Composition operators C φ from Bloch-type ℬ α spaces to F p , q , s classes, from F p , q , s to ℬ α , and from F p 1 , q 1 , 0 to F p 2 , q 2 , s 2 are considered. The criteria for these operators to be bounded or compact are given. Our study also includes the corresponding hyperbolic spaces.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/156353