%0 Journal Article
%T A class of operator related weighted composition operators between Zygmund space
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z
%A Abbasi, Ebrahim
%D 2021
%\ 02/01/2021
%V 2
%N 1
%P 17-25
%! A class of operator related weighted composition operators between Zygmund space
%K Boundedness
%K Compactness
%K essential norm
%K Zygmund space
%R 10.22060/ajmc.2020.18833.1041
%X 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.
%U https://ajmc.aut.ac.ir/article_4132_5f4531b1f76a9ff222c31d2ae30cd504.pdf