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  1 - Weighted Differentiation Composition Operators from Weighted Bergman Spaces with Admissible Weights to Bloch-type Spaces
  Sh. Rezaei
  For an analytic self-map ‎$‎‎\varphi‎$ ‎of ‎the ‎unit disk ‎‎$‎‎\mathbb{D}‎$ ‎in ‎the ‎complex ‎plane $‎‎\mathbb{C}‎‎$‎,‎ a nonnegative integer ‎$‎n‎$‎, and ‎$u&l چکیده کامل

  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. پرونده مقاله