Department of Mathematics‎, ‎Mahabad Branch‎, ‎Islamic Azad University‎, ‎Mahabad‎, ‎Iran
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 $u, vin H(mathbb{D})$ 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 fin H(mathbb{D} ), quad zin 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.
Abbasi, E. (2021). A class of operator related weighted composition operators between Zygmund space. AUT Journal of Mathematics and Computing, 2(1), 17-25. doi: 10.22060/ajmc.2020.18833.1041
MLA
Ebrahim Abbasi. "A class of operator related weighted composition operators between Zygmund space". AUT Journal of Mathematics and Computing, 2, 1, 2021, 17-25. doi: 10.22060/ajmc.2020.18833.1041
HARVARD
Abbasi, E. (2021). 'A class of operator related weighted composition operators between Zygmund space', AUT Journal of Mathematics and Computing, 2(1), pp. 17-25. doi: 10.22060/ajmc.2020.18833.1041
VANCOUVER
Abbasi, E. A class of operator related weighted composition operators between Zygmund space. AUT Journal of Mathematics and Computing, 2021; 2(1): 17-25. doi: 10.22060/ajmc.2020.18833.1041
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