Volterra-type operators from F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces

Stević-Sharma Operators from Area Nevanlinna Spaces to Bloch-Orlicz Type Spaces

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...

Composition Operators and Multiplication Operators on Orlicz Spaces

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Volterra-Type Operators on Zygmund Spaces

Composition Operators in Orlicz Spaces

Composition operators C− between Orlicz spaces L.;6;1⁄4/ generated by measurable and nonsingular transformations − from  into itself are considered. We characterize boundedness and compactness of the composition operator between Orlicz spaces in terms of properties of the mapping − , the function ' and the measure space .;6;1⁄4/. These results generalize earlier results known for L p-spaces....

Volterra composition operators from generally weighted Bloch spaces to Bloch-type spaces on the unit ball

Let φ be a holomorphic self-map of the open unit ball B, g ∈ H(B). In this paper, the boundedness and compactness of the Volterra composition operator T g from generally weighted Bloch spaces to Bloch-type spaces are investigated. c ©2012 NGA. All rights reserved.