@article {
author = {Abbasi, Ebrahim},
title = {A class of operator related weighted composition operators between Zygmund space},
journal = {AUT Journal of Mathematics and Computing},
volume = {2},
number = {1},
pages = {17-25},
year = {2021},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2020.18833.1041},
abstract = {Let $\mathbb {D}$ be the open unit disk in the complex plane $\mathbb{C}$ and $H(\mathbb{D})$ be the set of all analytic functions on $\mathbb{D}$. Let $u, v\in H(\mathbb{D})$ and $\varphi$ be an analytic self-map of $\mathbb{D}$. A class of operator related weighted composition operators is defined as follow\begin{align*}T_{u, v, \varphi}f(z) = u(z) f{(\varphi(z))}+ v(z) f'(\varphi(z)) ,\quad f\in H(\mathbb{D} ), \quad z\in \mathbb{D}.\end{align*}In this work, we obtain some new characterizations for boundedness and essential norm of operator $T_{u, v, \varphi}$ between Zygmund space.},
keywords = {Boundedness,Compactness,essential norm,Zygmund space},
url = {https://ajmc.aut.ac.ir/article_4132.html},
eprint = {https://ajmc.aut.ac.ir/article_4132_108bb500418e96e24d8b8076a85ae3b0.pdf}
}