Report
Generalized Volterra type integral operators on large Bergman spaces
العنوان: | Generalized Volterra type integral operators on large Bergman spaces |
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المؤلفون: | Gissy, H., Arroussi, H., Virtanen, J. A. |
سنة النشر: | 2022 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Functional Analysis, 47B38, 30H20 |
الوصف: | Let $\phi$ be an analytic self-map of the open unit disk $\mathbb{D}$ and $g$ analytic in $\mathbb{D}$. We characterize boundedness and compactness of generalized Volterra type integral operators $$GI_{(\phi,g)}f(z)= \int_{0}^{z}f'(\phi(\xi))\,g(\xi)\, d\xi $$ and $$GV_{ (\phi, g)}f(z)= \int_{0}^{z} f(\phi(\xi))\,g(\xi)\, d\xi, $$ acting between large Bergman spaces $A^p_\omega$ and $A^q_\omega$ for $0
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نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2208.12974 |
رقم الانضمام: | edsarx.2208.12974 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |