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302772

PROPERTIES AND APPLICATIONS OF THE COMPOSITION OPERATOR BETWEEN CERTAIN FUNCTION SPACES.

Article

Last updated: 24 Dec 2024

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Subjects

-

Tags

Mathematics & computer sciences and physics.

Abstract

In this study, we aim to investigate the boundedness and compactness of the composition operator $C_\Theta$, and to provide characterizations of its boundedness and compactness.

We introduce necessary conditions and sufficient conditions for the operator $C_\Theta$ to map $\mathcal{B}^{(m,n)}_g$ into the $Q_{P}$ space.

In this study, we aim to investigate the boundedness and compactness of the composition operator $C_\Theta$, and to provide characterizations of its boundedness and compactness.

We introduce necessary conditions and sufficient conditions for the operator $C_\Theta$ to map $\mathcal{B}^{(m,n)}_g$ into the $Q_{P}$ space.

In this study, we aim to investigate the boundedness and compactness of the composition operator $C_\Theta$, and to provide characterizations of its boundedness and compactness.

We introduce necessary conditions and sufficient conditions for the operator $C_\Theta$ to map $\mathcal{B}^{(m,n)}_g$ into the $Q_{P}$ space.

In this study, we aim to investigate the boundedness and compactness of the composition operator $C_\Theta$, and to provide characterizations of its boundedness and compactness.

We introduce necessary conditions and sufficient conditions for the operator $C_\Theta$ to map $\mathcal{B}^{(m,n)}_g$ into the $Q_{P}$ space.

DOI

10.21608/ajbas.2023.197731.1145

Keywords

Composition operator $C_\Theta$, the Space $Q_{P}$, boundedness and compactness, the space $\mathcal{B}^{(m, n)}_g$

Authors

First Name

M.

Last Name

Eissa

MiddleName

Hamza

Affiliation

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

Email

mohammed_essa2001@yahoo.com

City

-

Orcid

-

First Name

A.

Last Name

Kamal

MiddleName

-

Affiliation

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

Email

alaa_mohamed1@yahoo.com

City

-

Orcid

-

First Name

Samy A.

Last Name

Abd-Elhafeez

MiddleName

-

Affiliation

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

Email

samiabdelhafeezcs@gmail.com

City

-

Orcid

-

Volume

4

Article Issue

4

Related Issue

43711

Issue Date

2023-10-01

Receive Date

2023-03-03

Publish Date

2023-10-01

Page Start

625

Page End

634

Online ISSN

2682-275X

Article File

AJBAS_Volume 4_Issue 4_Pages 625-634.pdf

PDF . 871.6kB

Link

https://ajbas.journals.ekb.eg/article_302772.html

Detail API

https://ajbas.journals.ekb.eg/service?article_code=302772

Order

302,772

Type

Original Article

Type Code

947

Publication Type

Journal

Publication Title

Alfarama Journal of Basic & Applied Sciences

Publication Link

https://ajbas.journals.ekb.eg/

MainTitle

PROPERTIES AND APPLICATIONS OF THE COMPOSITION OPERATOR BETWEEN CERTAIN FUNCTION SPACES.

Details

Type

Article

Created At

24 Dec 2024