On F-Algebras Mp  (1<p<∞) of Holomorphic Functions

We consider the classes Mp (1<p<∞) of holomorphic functions on the open unit disk 𝔻 in the complex plane. These classes are in fact generalizations of the class M introduced by Kim (1986). The space Mp equipped with the topology given by the metric ρp defined by ρp(f,g)=f-gp=∫02π‍logp1+Mf-gθdθ...

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Bibliographic Details
Main Author: Romeo Meštrović
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/901726