Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492120210201A class of operator related weighted composition operators between Zygmund space1725413210.22060/ajmc.2020.18833.1041ENEbrahimAbbasiaDepartment of Mathematics, Mahabad Branch, Islamic Azad University, Mahabad, IranJournal Article20200806Let 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<br />Tu,v,ϕf(z) = u(z)f(ϕ(z)) + v(z)f 0 (ϕ(z)), f ∈ H(D), z ∈ D.<br />In this work, we obtain some new characterizations for boundedness and essential norm of operator Tu,v,ϕ between Zygmund space.https://ajmc.aut.ac.ir/article_4132_c1e933856c3bbe6489127de1302cb22c.pdf