Article ID Journal Published Year Pages File Type
4632231 Applied Mathematics and Computation 2009 10 Pages PDF
Abstract

Let H(B)H(B) denote the space of all holomorphic functions on the unit ball B⊂CnB⊂Cn. This paper investigates the following integral-type operator with symbol g∈H(B)g∈H(B)Tg(f)(z)=∫01f(tz)Rg(tz)dtt,f∈H(B),z∈B,where Rg(z)=∑j=1nzj∂g∂zj(z) is the radial derivative of g  . The boundedness and compactness of the operator TgTg from Bloch-type spaces to Zygmund-type spaces are studied.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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