Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces. (12th February 2019)

• Record Type: Journal Article
• Authors: Long, Jianren; Sun, Yu; Zhang, Shimei; Hu, Guangming
• Other Names: Zhao Ruhan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-02-12
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/8619104
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This research is concerned with second-order linear differential equationf ′ ′ + A ( z ) f = 0, whereA ( z ) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be inα -Bloch (littleα -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.