Mean growth and geometric zero distribution of solutions of linear differential equations

Janne Gröhn; Artur Nicolau; Jouni Rättyä

doi:10.1007/s11854-018-0024-0

Mean growth and geometric zero distribution of solutions of linear differential equations

Janne Gröhn, Artur Nicolau, Jouni Rättyä

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

6 Citations (Scopus)

Abstract

© 2018, Hebrew University Magnes Press. 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.

Original language	English
Pages (from-to)	747-768
Journal	Journal d'Analyse Mathematique
Volume	134
Issue number	2
DOIs	https://doi.org/10.1007/s11854-018-0024-0
Publication status	Published - 1 Feb 2018

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title = "Mean growth and geometric zero distribution of solutions of linear differential equations",

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AB - © 2018, Hebrew University Magnes Press. 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.

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Mean growth and geometric zero distribution of solutions of linear differential equations

Abstract

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