Stević-Sharma Operators from Area Nevanlinna Spaces to Bloch-Orlicz Type Spaces
نویسنده
چکیده
Let D be the open unit disk in the complex plane C, H(D) the class of all analytic functions on D and φ an analytic self-map of D. In order to unify the products of composition, multiplication, and differentiation operators, Stević and Sharma introduced the following so-called Stević-Sharma operator on H(D): Tψ1,ψ2,φf(z) = ψ1(z)f(φ(z)) + ψ2(z)f ′(φ(z)), where ψ1, ψ2 ∈ H(D). By constructing some more suitable test functions in the area Nevanlinna space, the boundedness and compactness of the StevićSharma operator from the area Nevanlinna space to the Bloch-orlicz space and the little Bloch-orlicz space are characterized. Mathematics Subject Classification: Primary 47B38; Secondary 47B33, 47B37
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