Adjoint of Sandwich Weighted Composition Operator on Weighted Hardy Spaces

Authors

  • Mohd Arief Department of Mathematics, Central University of Jammu, Samba-181143, J&K, India.
  • S.D. Sharma Department of Mathematics, Central University of Jammu, Samba-181143, J&K, India.

Keywords:

Weighted composition operator, evaluation kernel, weighted Hardy spaces.

Abstract

Let $\mathbb{D}$ be the open unit disc in the finite complex plane $\mathbb{C}$. A sandwich weighted composition operator $S_{\psi, \varphi}$ takes an analytic map $f$ on the open unit disc $\mathbb{D}$ to the map $(\psi.f^{\prime}o\varphi)^{\prime}$, where $\varphi$ is an analytic map of $\mathbb{D}$ into itself and $\psi$ is an analytic map on $\mathbb{D}$. In this paper, we compute the adjoint of a sandwich weighted composition operator $S_{\psi, \varphi}$ on weighted Hardy spaces.

Author Biographies

Mohd Arief, Department of Mathematics, Central University of Jammu, Samba-181143, J&K, India.

Research Scholar,

Department of Mathematics, Central University of Jammu, Samba-181143, J&K, India.

S.D. Sharma, Department of Mathematics, Central University of Jammu, Samba-181143, J&K, India.

Professor of Mathematics,

Department of Mathematics, Central University of Jammu, Samba-181143, J&K, India.

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Published

2021-12-14

Issue

Vol. 16

Section

Vol. 16, No. 8, (2022)

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