Generalized Volterra type integral operators on large Bergman spaces

التفاصيل البيبلوغرافية
العنوان: Generalized Volterra type integral operators on large Bergman spaces
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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2208.12974
رقم الانضمام: edsarx.2208.12974
قاعدة البيانات: arXiv