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The results of the superposition operator on sequence space $bv_{p}$ | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 27، دوره 14، شماره 7، مهر 2023، صفحه 309-320 اصل مقاله (410.1 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27943.3766 | ||
| نویسندگان | ||
| Sajjad Karami؛ Javad Fathi* ؛ Ahmad Ahmadi | ||
| Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran | ||
| تاریخ دریافت: 07 مرداد 1401، تاریخ بازنگری: 11 شهریور 1401، تاریخ پذیرش: 06 آذر 1401 | ||
| چکیده | ||
| In this paper, the conditions for the superposition operators were provided to map the space $bv_{p}$ into $b v_{q}$, where $1 \leq p$, $q<\infty$. Additionally, we presented the necessary and sufficient conditions under which superposition operators become bounded, continuous and uniformly continuous on the sequence space $b v_{p}$. | ||
| کلیدواژه‌ها | ||
| Bounded؛ Continuity modulus؛ Locally Bounded؛ Superposition operator | ||
| مراجع | ||
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