Shayesteh Rezaei
Department of Pure Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran.
[ 1 ] - Weighted composition operators between growth spaces on circular and strictly convex domain
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 $finmathcal{H}(Omega_X)$ for which $$|f(x)|leqslant C omega(r_{Omega_X}(x)),quad xin Omega_X,$$ for some constant $C>0$, whenever $r_{Omega_X}$ is the M...
[ 2 ] - Composition operators between growth spaces on circular and strictly convex domains in complex Banach spaces
Let $\Omega_X$ be a bounded, circular and strictly convex domain in a complex Banach space $X$, and $\mathcal{H}(\Omega_X)$ be the space of all holomorphic functions from $\Omega_X$ to $\mathbb{C}$. The growth space $\mathcal{A}^\nu(\Omega_X)$ consists of all $f\in\mathcal{H}(\Omega_X)$ such that $$|f(x)|\leqslant C \nu(r_{\Omega_X}(x)),\quad x\in \Omega_X,$$ for some constant $C>0$...
Co-Authors