%0 Journal Article
%T Weighted composition operators between growth spaces on circular and strictly convex domain
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Rezaei, Shayesteh
%D 2015
%\ 06/01/2015
%V 02
%N 1
%P 51-56
%! Weighted composition operators between growth spaces on circular and strictly convex domain
%K Weighted composition operator
%K Growth space
%K Circular domain
%R
%X 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 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.
%U http://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdf