We define weighted composition operators induced by a fixed analytic function and an analytic self-map of the open unit disk. We will consider the questions of when the weighted composition operator maps boundedly or compactly one analytic function space to another. The function spaces which we deal with are the reproducing Hilbert spaces of analytic functions on the open unit disk, the Bloch space and the little Bloch space.
|Number of pages
|Houston Journal of Mathematics
|Published - 2011
- Bloch spaces
- Spaces of analytic functions
- Weighted composition operator