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 | 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 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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