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arXiv · 1609.09729

Composition operators on the discrete analogue of generalized Hardy space on homogenous trees

Perumal Muthukumar·Saminathan Ponnusamy
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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.

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Perumal Muthukumar, Saminathan Ponnusamy. 2016-09-30. Composition operators on the discrete analogue of generalized Hardy space on homogenous trees. https://arxiv.org/abs/1609.09729

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