Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2022; 59(5): 1119-1129

Online first article August 22, 2022      Printed September 30, 2022

https://doi.org/10.4134/BKMS.b210622

Copyright © The Korean Mathematical Society.

The Matrix representation of a composition operator on the Hardy space

Young-Bok Chung

Chonnam National University

Abstract

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We formulate the matrix representation of a composition operator on the Hardy space of the unit disc with the symbol which is a Riemann map of the unit disc, with respect to a special orthonormal basis.

Keywords: Composition operator, matrix representation, Riemann map, Szeg\H o kernel

MSC numbers: Primary 47B33, 47B02, 47B91, 30H10, 30C40

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