Mean growth and geometric zero distribution of solutions of linear differential equations
Classical Analysis and ODEs
2018-10-01 v1
Abstract
The aim of this paper is to consider certain conditions on the coefficient of the differential equation in the unit disc, which place all normal solutions 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.
Keywords
Cite
@article{arxiv.1410.2777,
title = {Mean growth and geometric zero distribution of solutions of linear differential equations},
author = {Janne Gröhn and Artur Nicolau and Jouni Rättyä},
journal= {arXiv preprint arXiv:1410.2777},
year = {2018}
}
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17 pages