| Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Essential norm of differences of weighted composition operators between weighted-type spaces on the unit ball | Journal: | Applied Mathematics and Computation | Volume: | 217 | Issue: | 5 | First page: | 1811 | Last page: | 1824 | Issue Date: | 1-Nov-2010 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2010.02.034 | Abstract: | We find an asymptotically equivalent expression to the essential norm of differences of weighted composition operators between weighted-type spaces of holomorphic functions on the unit ball in CN. As a consequence we characterize the compactness of these operators. The boundedness of these operators is also characterized. |
Keywords: | Boundedness | Compactness | Differences of weighted composition operator | Essential norm | Weighted-type space | Publisher: | Elsevier |
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