@article {
author = {Rezaei, Shayesteh},
title = {Weighted composition operators between growth spaces on circular and strictly convex domain},
journal = {Sahand Communications in Mathematical Analysis},
volume = {02},
number = {1},
pages = {51-56},
year = {2015},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {Let $\Omega_X$ be a bounded, circular and strictly convex domain of a Banach space $X$ and $\mathcal{H}(\Omega_X)$ denote the space of all holomorphic functions defined on $\Omega_X$. The growth space $\mathcal{A}^\omega(\Omega_X)$ is the space of all $f\in\mathcal{H}(\Omega_X)$ for which $$|f(x)|\leqslant C \omega(r_{\Omega_X}(x)),\quad x\in \Omega_X,$$ for some constant $C>0$, whenever $r_{\Omega_X}$ is the Minkowski functional on $\Omega_X$ and $\omega :[0,1)\rightarrow(0,\infty)$ is a nondecreasing, continuous and unbounded function. Boundedness and compactness of weighted composition operators between growth spaces on circular and strictly convex domains were investigated.},
keywords = {Weighted composition operator,Growth space,Circular domain},
url = {http://scma.maragheh.ac.ir/article_12376.html},
eprint = {http://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdf}
}