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

Authors

Perumal Muthukumar, Indian Statistical Institute Chennai
Saminathan Ponnusamy, Indian Statistical Institute Chennai

Article Type

Research Article

Publication Title

Bulletin of the Malaysian Mathematical Sciences Society

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.

First Page

1801

Last Page

1815

DOI

10.1007/s40840-016-0419-y

Publication Date

10-1-2017

Comments

Open Access, Green

Recommended Citation

Muthukumar, Perumal and Ponnusamy, Saminathan, "Composition Operators on the Discrete Analogue of Generalized Hardy Space on Homogenous Trees" (2017). Journal Articles. 2387.
https://digitalcommons.isical.ac.in/journal-articles/2387