Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On an integral-type operator from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball | Journal: | Applied Mathematics and Computation | Volume: | 215 | Issue: | 11 | First page: | 3817 | Last page: | 3823 | Issue Date: | 1-Feb-2010 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2009.11.022 | Abstract: | Let H (B) denote the space of all holomorphic functions on the open unit ball B of Cn and g ∈ H (B). We characterize the boundedness and compactness of the following integral-type operator. Lg f (z) = ∫01 R f (tz) g (tz) frac(dt, t), z ∈ B,. where R f is the radial derivative of function f, from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball. |
Keywords: | Bloch-type space | Boundedness | Compactness | Integral-type operator | Mixed-norm space | Unit ball | Publisher: | Elsevier |
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