Composition operators on the discrete analogue of generalized Hardy space on homogenous trees
Functional Analysis
2016-10-03 v1
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 inducing symbol is automorphism of a homogenous tree.
Cite
@article{arxiv.1609.09729,
title = {Composition operators on the discrete analogue of generalized Hardy space on homogenous trees},
author = {Perumal Muthukumar and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:1609.09729},
year = {2016}
}
Comments
14 pages; A version of it is to appear in "Bulletin of the Malaysian Mathematical Sciences Society"