Ueki, Sei Ichiro
|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Integral-type operators acting between weighted-type spaces on the unit ball||Journal:||Applied Mathematics and Computation||Volume:||215||Issue:||7||First page:||2464||Last page:||2471||Issue Date:||1-Dec-2009||Rank:||M21||ISSN:||0096-3003||DOI:||10.1016/j.amc.2009.08.050||Abstract:||
Let B denote the unit ball in Cn and H (B) the space of all holomorphic functions on B. We study the boundedness and compactness of the following integral-type operatorsIφg f (z) = ∫01 R f (φ (tz)) g (tz) frac(dt, t), z ∈ B,where g ∈ H (B), g (0) = 0, φ is a holomorphic self-map of B and R f is the radial derivative of f, between weighted-type spaces on the unit ball.
|Keywords:||Boundedness | Essential norm | Integral-type operators | Weighted-type space||Publisher:||Elsevier|
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