Open AccessSecond-Order Linear Differential Equations with Solutions in Analytic Function Spaces
Author(s) -
Jianren Long,
Yu Sun,
Shimei Zhang,
Guiping Hu
Publication year - 2019
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2019/8619104
Subject(s) - algorithm , artificial intelligence , computer science
This research is concerned with second-order linear differential equationf ′ ′ + A ( z ) f = 0 , where A ( z ) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be in α -Bloch (little α -Bloch) space are found by using exponential type weighted Bergman reproducing kernel formula. On the other hand, we find also some sufficient conditions for the solutions to be in analytic Morrey (little analytic Morrey) space by using the representation formula.