TY - JOUR
ID - 12376
TI - Weighted composition operators between growth spaces on circular and strictly convex domain
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Rezaei, Shayesteh
AD - Department of Pure Mathematics, Aligudarz Branch, Islamic Azad
University, Aligudarz, Iran.
Y1 - 2015
PY - 2015
VL - 02
IS - 1
SP - 51
EP - 56
KW - Weighted composition operator
KW - Growth space
KW - Circular domain
DO -
N2 - 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.
UR - http://scma.maragheh.ac.ir/article_12376.html
L1 - http://scma.maragheh.ac.ir/article_12376_c69c8af693fb13fb851b69d01a5f63cd.pdf
ER -