Weighted Differentiation Composition Operators from Weighted Bergman Spaces with Admissible Weights to Bloch-type Spaces
عنوان مقاله: Weighted Differentiation Composition Operators from Weighted Bergman Spaces with Admissible Weights to Bloch-type Spaces
شناسه ملی مقاله: JR_IJIM-13-2_003
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_IJIM-13-2_003
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Sh. Rezaei - Department of Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran.
خلاصه مقاله:
Sh. Rezaei - Department of Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran.
For an analytic self-map \varphi of the unit disk \mathbb{D} in the complex plane \mathbb{C}, a nonnegative integer n, and u analytic function on \mathbb{D}, weighted differentiation composition operator is defined by (D_{\varphi,u}^nf) (z)=u(z)f^{(n)}(\varphi(z)), where f is an analytic function on \mathbb{D} and z\in\mathbb{D}. In this paper, we study the boundedness and compactness of D_{\varphi,u}^n, from weighted Bergman spaces with admissible weights to Bloch-type spaces.
کلمات کلیدی: Weighted differentiation composition operator, Weighted Bergman space, Bloch-type space, Admissible weight, Boundedness, Compactness
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1886946/