Abstract
We will characterize the boundedness and compactness of the composition operators on weighted Bloch space \( B_{ \log }= \{ f \in H(D): \sup_{z \in D } (1-\left| z\right|^2) \left( \log \frac{2}{1-\left| z\right|^2} \right)\left| f'(z)\right| \) < \( +\infty \} \), where H(D) be the class of all analytic functions on D.
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