A class of operator related weighted composition operators between Zygmund space

Document Type : Original Article

Author

Department of Mathematics‎, ‎Mahabad Branch‎, ‎Islamic Azad University‎, ‎Mahabad‎, ‎Iran

10.22060/ajmc.2020.18833.1041

Abstract

Let D be the open unit disk in the complex plane C and H(D) be the set of all analytic functions on D. Let u, v ∈ H(D) and ϕ be an analytic self-map of D. A class of operator related weighted composition operators is defined as follow
Tu,v,ϕf(z) = u(z)f(ϕ(z)) + v(z)f 0 (ϕ(z)), f ∈ H(D), z ∈ D.
In this work, we obtain some new characterizations for boundedness and essential norm of operator Tu,v,ϕ between Zygmund space.

Keywords

Main Subjects


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Volume 2, Issue 1
Winter and Spring 2021
Pages 17-25
  • Receive Date: 06 August 2020
  • Revise Date: 25 September 2020
  • Accept Date: 25 September 2020