Mean growth and geometric zero distribution of solutions of linear differential equations
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CitationGröhn, Janne. Nicolau, Artur. Rättyä, Jouni. (2018). Mean growth and geometric zero distribution of solutions of linear differential equations. Journal d'Analyse Mathématique, 134 (2) , 747-768. 10.1007/s11854-018-0024-0.
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 in the union of Hardy spaces or result in the zero-sequence of each non-trivial solution being uniformly separated. The conditions on the coefficient are given in terms of Carleson measures.