Superposition operators between the Bloch space and Bergman spaces

Venancio Álvarez Departamento de Análisis Matemático, Universidad de Málaga M. Auxiliadora Márquez Departamento de Análisis Matemático, Universidad de Málaga Dragan Vukotić Departamento de Matemáticas, Universidad Autónoma de Madrid

TBD mathscidoc:1701.333030

Arkiv for Matematik, 42, (2), 205-216, 2003.4
Using a geometric method, we characterize all entire functions that transform the Bloch space into a Bergman space by superposition in terms of their order and type. We also prove that all superposition operators induced by such entire functions act boundedly. Similar results hold for superpositions from BMOA into Bergman spaces and from the Bloch space into certain weighted Hardy spaces.
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@inproceedings{venancio2003superposition,
  title={Superposition operators between the Bloch space and Bergman spaces},
  author={Venancio Álvarez, M. Auxiliadora Márquez, and Dragan Vukotić},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203610861349839},
  booktitle={Arkiv for Matematik},
  volume={42},
  number={2},
  pages={205-216},
  year={2003},
}
Venancio Álvarez, M. Auxiliadora Márquez, and Dragan Vukotić. Superposition operators between the Bloch space and Bergman spaces. 2003. Vol. 42. In Arkiv for Matematik. pp.205-216. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203610861349839.
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