Composition Operators on the Discrete Analogue of Generalized Hardy Space on Homogenous Trees

Article

Abstract

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.

Keywords

Composition operators Rooted homogeneous tree Discrete Hardy spaces 

Mathematics Subject Classification

Primary: 05C05 47B33 47B38 Secondary: 46B50 

Notes

Acknowledgments

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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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2016

Authors and Affiliations

  1. 1.Indian Statistical Institute (ISI), Chennai Centre, SETS (Society for Electronic Transactions and Security)ChennaiIndia

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