The composition operators on weighted Bloch space

摘要

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| zright|^2) left( log frac{2}{1-left| zright|^2} right)left| f'(z)right| $ < $ +infty } $ , where H(D) be the class of all analytic functions on D.