Abstract
Abstract
The Nevanlinna-type spaces
$N_\varphi $
of analytic functions on the disk in the complex plane generated by strongly convex functions
$\varphi $
in the sense of Rudin are studied. We show for some special class of strongly convex functions asymptotic bounds on the growth of the Taylor coefficients of a function in
$N_\varphi $
and use these to characterize the coefficient multipliers from
$N_\varphi $
into the Hardy spaces
$H^p$
with
$0<p\leqslant \infty $
. As a by-product, we prove a representation of continuous linear functionals on
$N_\varphi $
.
Publisher
Cambridge University Press (CUP)
Reference23 articles.
1. Topological vector spaces of analytic functions;Zayed;Complex Var. Theory Appl.,1983
2. On some classes of functions with regard to their orders of growth