Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator

Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator

Show other versions (1)

In this effort, we deal with a new integral operator in the open unit disk. This operator is formulated by the complex Alexander operator and its derivative. Furthermore, we introduce a new subspace of the Hardy space containing the normalized analytic functions. We shall prove that the new integral...

Full description

Bibliographic Details
Main Author: Rabha W. Ibrahim
Format: Article
Language:English
Published: Etamaths Publishing 2017-05-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1079
id doaj-02fdf499c8b1470f88343f6e61eccb4d
record_format Article
spelling doaj-02fdf499c8b1470f88343f6e61eccb4d2021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-05-011413441237Geometric Characterizations of the Differential Shift Plus Alexander Integral OperatorRabha W. Ibrahim0umIn this effort, we deal with a new integral operator in the open unit disk. This operator is formulated by the complex Alexander operator and its derivative. Furthermore, we introduce a new subspace of the Hardy space containing the normalized analytic functions. We shall prove that the new integral operator is closed in the subspace of normalized functions. Geometric characterizations are established in the sequel based on the maximality of Jack Lemma.http://etamaths.com/index.php/ijaa/article/view/1079
collection DOAJ
language English
format Article
sources DOAJ
author Rabha W. Ibrahim
spellingShingle Rabha W. Ibrahim
Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
International Journal of Analysis and Applications
author_facet Rabha W. Ibrahim
author_sort Rabha W. Ibrahim
title Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
title_short Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
title_full Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
title_fullStr Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
title_full_unstemmed Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
title_sort geometric characterizations of the differential shift plus alexander integral operator
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-05-01
description In this effort, we deal with a new integral operator in the open unit disk. This operator is formulated by the complex Alexander operator and its derivative. Furthermore, we introduce a new subspace of the Hardy space containing the normalized analytic functions. We shall prove that the new integral operator is closed in the subspace of normalized functions. Geometric characterizations are established in the sequel based on the maximality of Jack Lemma.
url http://etamaths.com/index.php/ijaa/article/view/1079
work_keys_str_mv AT rabhawibrahim geometriccharacterizationsofthedifferentialshiftplusalexanderintegraloperator
_version_ 1721193432746033152

Similar Items