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

Document Type : Original Article

Authors

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

2 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

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.

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Alfarama Journal of Basic & Applied Sciences
Volume 4, Issue 4
October 2023
Pages 625-634

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