Title of article :
A class of operator related weighted composition operators between Zygmund space
Author/Authors :
Abbasi, Ebrahim Department of Mathematics - Islamic Azad University Mahabad Branch, Mahabad, Iran
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 :
Boundedness , Compactness , Essential norm , Zygmund space
Journal title :
AUT Journal of Mathematics and Computing
