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Mean growth and geometric zero distribution of solutions of linear differential equations (1410.2777v1)
Published 10 Oct 2014 in math.CA
Abstract: 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.