Stability of Admissible Functions
By using the concept of the weak subordination, we examine the stability (a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination) for a class of admissible functions in complex Banach spaces. The stability of analytic functions in the following c...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/342895 |
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| _version_ | 1832566819835084800 |
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| author | Rabha W. Ibrahim |
| author_facet | Rabha W. Ibrahim |
| author_sort | Rabha W. Ibrahim |
| collection | DOAJ |
| description | By using the concept of the weak subordination, we examine the stability (a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination) for a class of admissible functions in complex Banach spaces. The stability
of analytic functions in the following classes is discussed: Bloch class, little Bloch class,
hyperbolic little Bloch class, extend Bloch class (Qp), and Hilbert Hardy class (H2). |
| format | Article |
| id | doaj-art-62510624503544e4aa72a051c046582c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-62510624503544e4aa72a051c046582c2025-02-03T01:02:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/342895342895Stability of Admissible FunctionsRabha W. Ibrahim0School of Mathematical Sciences, Faculty of Sciences and Technology, UKM, 43600 Bangi, MalaysiaBy using the concept of the weak subordination, we examine the stability (a class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination) for a class of admissible functions in complex Banach spaces. The stability of analytic functions in the following classes is discussed: Bloch class, little Bloch class, hyperbolic little Bloch class, extend Bloch class (Qp), and Hilbert Hardy class (H2).http://dx.doi.org/10.1155/2011/342895 |
| spellingShingle | Rabha W. Ibrahim Stability of Admissible Functions International Journal of Mathematics and Mathematical Sciences |
| title | Stability of Admissible Functions |
| title_full | Stability of Admissible Functions |
| title_fullStr | Stability of Admissible Functions |
| title_full_unstemmed | Stability of Admissible Functions |
| title_short | Stability of Admissible Functions |
| title_sort | stability of admissible functions |
| url | http://dx.doi.org/10.1155/2011/342895 |
| work_keys_str_mv | AT rabhawibrahim stabilityofadmissiblefunctions |