| Authors: | Stević, Stevo Jiang, Zhijie |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Differences of weighted composition operations on the unit polydisk | Journal: | Siberian Mathematical Journal | Volume: | 52 | Issue: | 2 | First page: | 358 | Last page: | 371 | Issue Date: | 1-Mar-2011 | Rank: | M23 | ISSN: | 0037-4466 | DOI: | 10.1134/S0037446611020200 | Abstract: | Let φ1 and φ2 be holomorphic self-maps of the unit polydisk DN, and let u1 and u2 be holomorphic functions on DN. We characterize the boundedness and compactness of the difference of weighted composition operators Wφ1, u1 and Wφ2, u2 from the weighted Bergman space, 0 < p < ∞, to the weighted-type space Hυ∞ of holomorphic functions on the unit polydisk DN in terms of inducing symbols φ1, φ2, u1, and u2. |
Keywords: | compact operator | polydisk | weighted Bergman space | weighted composition operator | weighted-type space | Publisher: | Springer Link | Project: | Science Foundation of the Sichuan Province, Grant No. 20072A04 |
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