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Hilbert matrix operator on Zygmund spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 128، دوره 13، شماره 2، مهر 2022، صفحه 1585-1589 اصل مقاله (344.6 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24402.2735 | ||
| نویسندگان | ||
| Ayyoub Manavi1؛ Mostafa Hassanlou* 2 | ||
| 1Department of Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran | ||
| 2Engineering Faculty of Khoy, Urmia University of Technology, Urmia, Iran | ||
| تاریخ دریافت: 29 مرداد 1400، تاریخ بازنگری: 02 مهر 1400، تاریخ پذیرش: 20 مهر 1400 | ||
| چکیده | ||
| Let $\mathcal{H}_\mu=(\mu_{n+k})_{n,k\geq0}$ with entries $\mu_{n,k}=\mu_{n+k}$ induces the operator $\mathcal{H}_\mu(f)(z)=\sum_{n=0}^{\infty}\left(\sum_{k=0}^{\infty}\mu_{n,k}a_k\right)z^n$ on the space of all analytic functions $f(z)=\sum_{n=0}^{\infty}a_nz^n$ in the unit disk $\mathbb{D}$, where $\mu$ is a positive Borel measure on the interval $[0, 1)$. In this paper, we characterize the boundedness and compactness of the operator $\mathcal{H}_\mu$ on Zygmund type spaces. | ||
| کلیدواژهها | ||
| Boundedness؛ Compactness؛ Hilbert matrix operator؛ Operator؛ Zygmund space | ||
| مراجع | ||
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