Differences of generalized weighted composition operators from the Bloch space into Bers-type spaces

Filomat ◽  
2017 ◽  
Vol 31 (6) ◽  
pp. 1671-1680 ◽  
Author(s):  
Xiaosong Liu ◽  
Songxiao Li
Keyword(s):  
Composition Operators ◽  
Bloch Space ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Generalized Weighted Composition Operators

scholarly journals New criteria for generalized weighted composition operators from mixed norm spaces into Zygmund-type spaces

Filomat ◽  
2012 ◽  
Vol 26 (6) ◽  
pp. 1171-1178
Author(s):  
Yong Ren
Keyword(s):  
Composition Operators ◽  
Mixed Norm ◽  
Weighted Composition Operators ◽  
Mixed Norm Spaces ◽  
Type Spaces ◽  
Weighted Composition ◽  
New Criteria ◽  
Generalized Weighted Composition Operators

New criteria for the boundedness and the compactness of the generalized weighted composition operators from mixed norm spaces into Zygmund-type spaces are given in this paper.

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

2008 ◽  
Vol 19 (08) ◽  
pp. 899-926 ◽  
Author(s):  
ZE-HUA ZHOU ◽  
REN-YU CHEN
Keyword(s):  
Holomorphic Function ◽  
Unit Ball ◽  
Composition Operator ◽  
Composition Operators ◽  
Bloch Space ◽  
Weighted Composition Operator ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition

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 < p, s < +∞, -n - 1 < q < +∞, q+s > -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 [Formula: see text].

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