Composition operators between p -Bloch space and q -Bloch space in the unit ball*

2003 ◽  
Vol 13 (3) ◽  
pp. 233-236 ◽  
Author(s):  
Zehua Zhou ◽  
Honggang Zeng
Keyword(s):  
Unit Ball ◽  
Composition Operators ◽  
Bloch Space

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].

scholarly journals Essential Norms of Weighted Composition Operators from theα-Bloch Space to a Weighted-Type Space on the Unit Ball

2008 ◽  
Vol 2008 ◽  
pp. 1-11 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Composition Operators ◽  
Bloch Space ◽  
Weighted Composition Operator ◽  
Essential Norm ◽  
Weighted Composition Operators ◽  
Lower And Upper Bounds ◽  
Type Space ◽  
Weighted Composition ◽  
Weighted Type

This paper finds some lower and upper bounds for the essential norm of the weighted composition operator fromα-Bloch spaces to the weighted-type spaceHμ∞on the unit ball for the caseα≥1.

scholarly journals Volterra composition operators from generalized weighted weighted Bergman spaces toµ-Bloch spaces

2009 ◽  
Vol 7 (3) ◽  
pp. 225-240 ◽  
Author(s):  
Xiangling Zhu
Keyword(s):  
Holomorphic Function ◽  
Unit Ball ◽  
Bergman Space ◽  
Composition Operators ◽  
Bloch Space ◽  
Bergman Spaces ◽  
Weighted Bergman Space ◽  
Weighted Bergman Spaces ◽  
Bloch Spaces

Letφbe a holomorphic self-map andgbe a fixed holomorphic function on the unit ballB. The boundedness and compactness of the operatorTg,φf(z)=∫01f(φ(tz))ℜg(tz)dttfrom the generalized weighted Bergman space into the µ-Bloch space are studied in this paper.

scholarly journals Composition operators on the Bloch space of the unit ball of a Hilbert space

2017 ◽  
Vol 11 (2) ◽  
pp. 311-334 ◽  
Author(s):  
Oscar Blasco ◽  
Pablo Galindo ◽  
Mikael Lindström ◽  
Alejandro Miralles
Keyword(s):  
Hilbert Space ◽  
Unit Ball ◽  
Composition Operators ◽  
Bloch Space

Closed range composition operators on the Bloch space in the unit ball of ℂn

2007 ◽  
Vol 52 (10-11) ◽  
pp. 1029-1037 ◽  
Author(s):  
Fangwen Deng ◽  
Liangying Jiang ◽  
Caiheng Ouyang
Keyword(s):  
Unit Ball ◽  
Composition Operators ◽  
Bloch Space ◽  
Closed Range
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