| Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On an integral operator between Bloch-type spaces on the unit ball | Journal: | Bulletin des Sciences Mathematiques | Volume: | 134 | Issue: | 4 | First page: | 329 | Last page: | 339 | Issue Date: | 1-Jun-2010 | Rank: | M22 | ISSN: | 0007-4497 | DOI: | 10.1016/j.bulsci.2008.10.005 | Abstract: | We characterize the boundedness and compactness of the following integral-type operator. Iφg(f)(z)=∫01Rf(φ(tz))g(tz)dtt,z∈B, where g is a holomorphic function on the unit ball B⊂Cn such that g(0)=0, and φ is a holomorphic self-map of B, acting from α-Bloch spaces to Bloch-type spaces on B. |
Keywords: | α-Bloch space | Bloch-type space | Boundedness | Compactness | Integral-type operator | Unit ball | Publisher: | Elsevier |
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