We estimate the essential norm of weighted composition operators uC φ acting on Bloch-type spacesBα in terms of the analytic function u:D→C and the n-th power of the analytic selfmapφ of the open unit discD. We obtain new characterizations for boundedness and compactness of uCφ:Bα→Bβ for all 0<α, β<∞, thus answering an open problem of Manhas and Zhao concerning the case α=1.
|Number of pages||7|
|Journal||Journal of Mathematical Analysis and Applications|
|Publication status||Published - 1 Sept 2012|
|MoE publication type||A1 Journal article-refereed|
- Essential norm
- Bloch-type spaces
- Weighted composition operator