J. Aust. Math. Soc.  80 (2006), 397-418
Growth properties and sequences of zeros of analytic functions in spaces of Dirichlet type

 Daniel Girela   Depto. de Análisis Matemático   Facultad de Ciencias   Universidad de Málaga   Campus de Teatinos   29071 Málaga   Spain  girela@uma.es
 and
 José Ángel Peláez   Depto. de Análisis Matemático   Facultad de Ciencias   Universidad de Málaga   Campus de Teatinos   29071 Málaga   Spain  pelaez@anamat.cie.uma.es

Abstract
For , we let denote the space of those functions that are analytic in the unit disc and satisfy . The spaces are closely related to Hardy spaces. We have, , if , and , if . In this paper we obtain a number of results about the Taylor coefficients of -functions and sharp estimates on the growth of the integral means and the radial growth of these functions as well as information on their zero sets.