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• W2078931689 abstract "We introduce the following integral-type operator on the space H(B) of all holomorphic functions on the unit ball B⊂CnPφg(f)(z)=∫01f(φ(tz))g(tz)dtt,z∈B, where g∈H(B), g(0)=0 and φ is a holomorphic self-map of B. The boundedness and compactness of the operator from the Bloch space B or the little Bloch space B0 to the Bloch-type space Bμ or the little Bloch-type space Bμ,0, are characterized. In the main results we calculate the essential norm of the operators Pφg:B(or B0)→Bμ(or Bμ,0) in an elegant way." @default.
• W2078931689 created "2016-06-24" @default.
• W2078931689 creator A5001104212 @default.
• W2078931689 date "2009-06-01" @default.
• W2078931689 modified "2023-10-13" @default.
• W2078931689 title "On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball" @default.
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• W2078931689 doi "https://doi.org/10.1016/j.jmaa.2008.12.059" @default.
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