PROPERTIES AND APPLICATIONS OF THE COMPOSITION OPERATOR BETWEEN CERTAIN FUNCTION SPACES. | ||||
| Alfarama Journal of Basic & Applied Sciences | ||||
| Volume 4, Issue 4, October 2023, Page 625-634 PDF (851.18 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/ajbas.2023.197731.1145 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
M. Hamza Eissa  1; A. Kamal2; Samy A. Abd-Elhafeez1
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| 1Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt | ||||
| 2Department 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. | ||||
| Keywords | ||||
| Composition operator $C_\Theta$; the Space $Q_{P}$; boundedness and compactness; the space $\mathcal{B}^{(m; n)}_g$ | ||||
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