Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces-Reference-Cited by-同舟云学术

Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces

Published:2019-02-12 Issue: Volume:2019 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Long Jianren¹²^ORCID,Sun Yu¹,Zhang Shimei¹,Hu Guangming³

Affiliation:

1. School of Mathematical Science, Guizhou Normal University, Guiyang 550001, China

2. School of Computer Science and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

3. School of Sciences, Jinling Institute of Technology, Nanjing 211169, China

Abstract

This research is concerned with second-order linear differential equation f′′+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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2019/8619104.pdf

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