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Norm of difference of two general polynomial weighted differentiation composition operators from Cauchy transform space into some analytic function spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 13 تیر 1404 اصل مقاله (413.6 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.36300.5355 | ||
| نویسندگان | ||
| Ebrahim Abbasi* 1؛ Mostafa Hassanlou2؛ Ali Ebrahimi3 | ||
| 1Department of Mathematics, Mahabad Branch, Islamic Azad University, Mahabad, Iran | ||
| 2Engineering Faculty of Khoy, Urmia University of Technology, Urmia, Iran | ||
| 3Department of Mathematics, Mahabad Branch, Islamic Azad University, Mahabad, Iran | ||
| تاریخ دریافت: 29 آذر 1403، تاریخ بازنگری: 16 اسفند 1403، تاریخ پذیرش: 15 فروردین 1404 | ||
| چکیده | ||
| Let for $0\leq j\leq n$, $\varphi_j,\psi_j: \mathbb{D}\rightarrow\mathbb{D}$ and $u_j, v_j: \mathbb{D}\rightarrow\mathbb{C}$. In this paper, we investigate boundedness of operator $$S =\sum_{j=0}^n (D^j_{u_j, \varphi_j}-D^j_{v_j,\psi_j})$$ from Cauchy transform space into some analytic function spaces. Also, we obtain an exact formula for the norm of this operator. | ||
| کلیدواژهها | ||
| boundedness؛ Cauchy transform space؛ Dirichlet space؛ $m$th weighted type space | ||
| مراجع | ||
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