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381193

On generalized superposition operator acting of analytic function spaces

Article

Last updated: 31 Dec 2024

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Abstract

In this paper we introduce a new integration operator SðnÞ
g;/, where
SðnÞ
g;/ ¼
Z z
0
/ðnÞ
ðfðnÞÞgðnÞdn:
We characterize all entire functions that transform a Bloch-type space into another by this new
integration operator. Also, we prove that all generalized superposition operators induced by such
entire functions are bounded.

DOI

10.1016/j.joems.2014.02.014

Keywords

Bloch space, Generalized superposition operators

Authors

First Name

Alaa Kamal

Last Name

Mohamed

MiddleName

-

Affiliation

Port Said University, Faculty of Science, Department of Mathematics, Port Said 42521, Egypt

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-23

Publish Date

2015-04-01

Page Start

134

Page End

138

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_381193.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381193

Order

381,193

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On generalized superposition operator acting of analytic function spaces

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Type

Article

Created At

21 Dec 2024