WEIGHTED COMPOSITION OPERATORS FROM F(p,q,s) TO BLOCH TYPE SPACES ON THE UNIT BALL

By Ze‐hua Zhou, Ren-yu Chen. 2005

49 citations recorded by the source corpus.

Let ϕ(z) = (ϕ1(z),…,ϕn(z)) be a holomorphic self-map of B and ψ(z) a holomorphic function on B, where B is the unit ball of ℂn. Let 0 -1 and α ≥ 0, this paper characterizes boundedness and compactness of weighted composition operator Wψ,ϕ induced by ϕ and ψ between the space F(p, q, s) and α-Bloch space .

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/bb7516e757544524124bc9a9431ace9c645025c5

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In Applied Mathematics

1. Flavia Colonna
2. Robert F. Allen

In Geometry and Topology

1. Flavia Colonna
2. Robert F. Allen

Citations in the corpus

• Weighted Composition Operators from H∞ to the Bloch Space of a Bounded Homogeneous Domain (2010, background): “The following theorem is a special case of Corollaries 1.4 and 1.6 of [ 31 ]; their results apply to a large set of function spaces which includes the Bloch space.”