Approximation of subharmonic functions

Abstract

Growth, zero distribution and factorization of analytic functions of moderate growth in the unit disc AbstractWe give a survey of results on zero distribution and factorization of analytic functions in the unit disc in classes defined by the growth of log |f (re iθ )| in the uniform and integral metrics. We restrict ourself by the case of finite order of growth. For a Blaschke product B we obtain a necessary and sufficient condition for the uniform boundedness of all p-means of log |B(re iθ )|, where p > 1.