تقرير
Composition-Differentiation Operator on Weighted Bergman Spaces
| العنوان: | Composition-Differentiation Operator on Weighted Bergman Spaces |
|---|---|
| المؤلفون: | Allu, Vasudevarao, Halder, Himadri, Pal, Subhadip |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Functional Analysis, 47B38, 47B33, 30H20, 47A05, 47B15 |
| الوصف: | In this paper, we study the complex symmetry of weighted composition-differentiation operator $D_{n, \psi, \phi}$ on weighted Bergman spaces $\mathcal{A}^2_{\alpha}$ with respect to the conjugation $C_{\mu, \eta}$ for $\mu, \eta \in \{z\in \mathbb{C}:|z|=1\}$. We obtain explicit conditions for which the operator $D_{n, \psi, \phi}$ is Hermitian and normal. We also characterize the complex symmetric weighted composition-differentiation operator for derivative Hardy spaces. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2301.08575 |
| رقم الأكسشن: | edsarx.2301.08575 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |