Mean growth and geometric zero distribution of solutions of linear   differential equations
  The aim of this paper is to consider certain conditions on the coefficient $A$ of the differential equation $f"+Af=0$ in the unit disc, which place all normal solutions $f$ to the union of Hardy spaces or result in the zero-sequence of each non-trivial solution to be uniformly separated. The conditions on the coefficient are given in terms of Carleson measures. 
Janne Gr\"ohn, Artur Nicolau and Jouni R\"atty\"a
math.CA