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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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). |
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| ISSN: | 0161-1712 1687-0425 |