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

Composition operators Cφ from Bloch-type ℬα spaces to Fp,q,s classes, from Fp,q,s to ℬα, and from Fp1,q1,0 to Fp2,q2,s2 are considered. The criteria for these operators to be bounded or compact are given. Our study also includes the corresponding hyperbolic spaces.

Bibliographic Details
Main Authors: Marko Kotilainen, Fernando Pérez-González
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/156353
Description
Summary:Composition operators Cφ from Bloch-type ℬα spaces to Fp,q,s classes, from Fp,q,s to ℬα, and from Fp1,q1,0 to Fp2,q2,s2 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