Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces
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 repro...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/8619104 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850174678079897600 |
|---|---|
| author | Jianren Long Yu Sun Shimei Zhang Guangming Hu |
| author_facet | Jianren Long Yu Sun Shimei Zhang Guangming Hu |
| author_sort | Jianren Long |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c7a5affde3e04e20a5c6e9ebcd2fcaef |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c7a5affde3e04e20a5c6e9ebcd2fcaef2025-08-20T02:19:37ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/86191048619104Second-Order Linear Differential Equations with Solutions in Analytic Function SpacesJianren Long0Yu Sun1Shimei Zhang2Guangming Hu3School of Mathematical Science, Guizhou Normal University, Guiyang 550001, ChinaSchool of Mathematical Science, Guizhou Normal University, Guiyang 550001, ChinaSchool of Mathematical Science, Guizhou Normal University, Guiyang 550001, ChinaSchool of Sciences, Jinling Institute of Technology, Nanjing 211169, ChinaThis 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.http://dx.doi.org/10.1155/2019/8619104 |
| spellingShingle | Jianren Long Yu Sun Shimei Zhang Guangming Hu Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces Journal of Function Spaces |
| title | Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces |
| title_full | Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces |
| title_fullStr | Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces |
| title_full_unstemmed | Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces |
| title_short | Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces |
| title_sort | second order linear differential equations with solutions in analytic function spaces |
| url | http://dx.doi.org/10.1155/2019/8619104 |
| work_keys_str_mv | AT jianrenlong secondorderlineardifferentialequationswithsolutionsinanalyticfunctionspaces AT yusun secondorderlineardifferentialequationswithsolutionsinanalyticfunctionspaces AT shimeizhang secondorderlineardifferentialequationswithsolutionsinanalyticfunctionspaces AT guangminghu secondorderlineardifferentialequationswithsolutionsinanalyticfunctionspaces |