weighted composition operators between growth spaces on circular and strictly convex domain

نویسندگان

shayesteh rezaei

چکیده

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.

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عنوان ژورنال:
sahand communications in mathematical analysis

ناشر: university of maragheh

ISSN 2322-5807

دوره 2

شماره 1 2015

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