@article {
author = {Alighadr, Fariba and Vaezi, Hamid and Hassanloo, Mostafa},
title = {Essential Norm of the Generalized Integration Operator from Zygmund Space into Weighted Dirichlet Type Space},
journal = {Sahand Communications in Mathematical Analysis},
volume = {19},
number = {2},
pages = {33-47},
year = {2022},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2022.521137.888},
abstract = {Let $H(\mathbb{D})$ be the space of all analytic functions on the open unit disc $\mathbb{D}$ in the complex plane $\mathbb{C}$. In this paper, we investigate the boundedness and compactness of the generalized integration operator$$I_{g,\varphi}^{(n)}(f)(z)=\int_0^z f^{(n)}(\varphi(\xi))g(\xi)\ d\xi,\quad z\in\mathbb{D},$$ from Zygmund space into weighted Dirichlet type space, where $\varphi$ is an analytic self-map of $\mathbb{D}$, $n\in\mathbb{N}$ and $g\in H(\mathbb{D})$. Also we give an estimate for the essential norm of the above operator.},
keywords = {Generalized integration operator,Dirichlet type space,Zygmund space,Essential norm},
url = {https://scma.maragheh.ac.ir/article_251966.html},
eprint = {https://scma.maragheh.ac.ir/article_251966_ddba7c527ec8fcace5d324b22d964021.pdf}
}