Proceedings Mathematical Sciences

, Volume 117, Issue 3, pp 371–385 | Cite as

Weighted composition operators from Bergman-type spaces into Bloch spaces

Article

Abstract

Let ϕ be an analytic self-map and u be a fixed analytic function on the open unit disk D in the complex plane ℂ. The weighted composition operator is defined by
$$ uC_\phi f = u \cdot (f \circ \phi ), f \in H(D). $$
Weighted composition operators from Bergman-type spaces into Bloch spaces and little Bloch spaces are characterized by function theoretic properties of their inducing maps.

Keywords

Weighted composition operator Bergman-type space Bloch space 

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Copyright information

© Indian Academy of Sciences 2007

Authors and Affiliations

  1. 1.Department of MathematicsShantou UniversityShantouChina
  2. 2.Department of MathematicsJia Ying UniversityMeizhouChina
  3. 3.Mathematical Institute of the Serbian Academy of ScienceBeogradSerbia

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