Mean growth and geometric zero distribution of solutions of linear differential equations
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2018Author(s)
Gröhn, Janne
Nicolau, Artur
Rättyä, Jouni
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10.1007/s11854-018-0024-0Metadata
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Gröhn, 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.Rights
© Hebrew University Magnes Press. This is a post-peer-review, pre-copyedit version of an article published in Journal d'Analyse Mathématique. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11854-018-0024-0
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 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.