For a given holomorphic self map p of the unit disk, we consider the Bloch-to-BMOA composition property (pullback property) of Our results are (1) cannot have the pullback property if touches the boundary too smoothly, (2) while has the pullback property if touches the boundary rather sharply. One of these results yields an interesting consequence completely contrary to a higher dimensional result which has been known. These results resemble known results concerning the compactness of composition operators on the Hardy spaces. Some remarks in that direction are included.
|Number of pages||10|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1997 Dec 1|
- Bloch space
- Pullback property
ASJC Scopus subject areas
- Applied Mathematics