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Weighted composition operators from Bergman-type spaces into Bloch spaces

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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.

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Authors and Affiliations

  1. Department of Mathematics, Shantou University, 515 063, Shantou, Guangdong, China

    Songxiao Li

  2. Department of Mathematics, Jia Ying University, 514 015, Meizhou, Guangdong, China

    Songxiao Li

  3. Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, 11000, Beograd, Serbia

    Stevo Stević

Authors
  1. Songxiao Li
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  2. Stevo Stević
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Correspondence to Songxiao Li.

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Li, S., Stević, S. Weighted composition operators from Bergman-type spaces into Bloch spaces. Proc Math Sci 117, 371–385 (2007). https://doi.org/10.1007/s12044-007-0032-y

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  • DOI: https://doi.org/10.1007/s12044-007-0032-y

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