Composition Operators on the Discrete Analogue of Generalized Hardy Space on Homogenous Trees
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In this paper, we study the basic properties such as boundedness and compactness of composition operators on discrete analogue of generalized Hardy space defined on a homogeneous rooted tree. Also, we compute the operator norm of composition operator when the inducing symbol is an automorphism of a homogenous tree.
KeywordsComposition operators Rooted homogeneous tree Discrete Hardy spaces
Mathematics Subject ClassificationPrimary: 05C05 47B33 47B38 Secondary: 46B50
The authors thank the referee for many useful comments. The first author thanks the Council of Scientific and Industrial Research (CSIR), India, for providing financial support in the form of a SPM Fellowship to carry out this research. The second author is currently on leave from IIT Madras.
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