A class of operator related weighted composition operators between Zygmund space

Document Type : Original Article

Author

aDepartment of Mathematics, Mahabad Branch, Islamic Azad University, 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.

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References

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AUT Journal of Mathematics and Computing
Volume 2, Issue 1
February 2021
Pages 17-25

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