Coposinormal Weighted composition operators on $H^{2}(\mathbb{D})$

Authors

  • Prasad Thankarajan Department of Mathematics Cochin University of Science and Technology

Keywords:

posinormal operator, composition operator, cyclic operator, Toeplitz operator, Hardy space

Abstract

In this paper, we study  coposinormal  composition operators and posinormal weighted  composition operators on the Hardy space $H^{2}(\mathbb{D})$. We show that if $W_{\psi,\varphi}$ is coposinormal on $H^{2}(\mathbb{D})$, then $\psi$ never vanishes on $\mathbb{D}$ also we prove that  $\varphi$ is univalent. Moreover, we study the commutant of a coposinormal weighted composition operator.

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Published

2020-04-20

Issue

Vol. 16

Section

Vol. 16, No. 2, (2022)

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