Authors: Li, Songxiao
Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Weighted composition operators from Bergman-type spaces into Bloch spaces
Journal: Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume: 117
Issue: 3
First page: 371
Last page: 385
Issue Date: 1-Aug-2007
Rank: M23
ISSN: 0253-4142
DOI: 10.1007/s12044-007-0032-y
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 uCφf = u · (f o φ), f ∈ 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: Bergman-type space | Bloch space | Weighted composition operator
Publisher: Springer Link
Project: NNSF of China (No. 10671115)
NSF of Guangdong Province (No. 06105648)

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