Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On operator Pφg from the logarithmic Bloch-type space to the mixed-norm space on the unit ball | Journal: | Applied Mathematics and Computation | Volume: | 215 | Issue: | 12 | First page: | 4248 | Last page: | 4255 | Issue Date: | 15-Feb-2010 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2009.12.048 | Abstract: | The boundedness and compactness of the following recently introduced, by this author, integral-type operatorPφg f (z) = ∫01 f (φ (tz)) g (tz) frac(dt, t), z ∈ B,where φ is a holomorphic self-map of the unit ball B in Cn and g is a holomorphic function on B such that g (0) = 0, from logarithmic Bloch-type spaces to mixed-norm spaces on B, are studied in this paper. |
Keywords: | Boundedness | Compactness | Integral-type operator | Logarithmic Bloch-type space | Mixed-norm space | Unit ball | Publisher: | Elsevier |
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