Weighted composition operators between a weighted-type space and the Hardy space on the unit ball

2012 ◽  
Vol 104 (3) ◽  
pp. 309-319 ◽  
Author(s):  
Ze-Hua Zhou ◽  
Yu-Xia Liang ◽  
Xing-Tang Dong
Keyword(s):  
Hardy Space ◽  
Unit Ball ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Type Space ◽  
Weighted Composition ◽  
Weighted Type

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 Weighted Composition Operators fromF(p,q,s)Spaces toHμ∞Spaces

2009 ◽  
Vol 2009 ◽  
pp. 1-14 ◽  
Author(s):  
Xiangling Zhu
Keyword(s):  
Unit Ball ◽  
Composition Operator ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Holomorphic Functions ◽  
Weighted Composition Operators ◽  
General Function ◽  
Weighted Composition ◽  
Weighted Type ◽  
General Function Space

LetH(B)denote the space of all holomorphic functions on the unit ballB. Letu∈H(B)andφbe a holomorphic self-map ofB. In this paper, we investigate the boundedness and compactness of the weighted composition operatoruCφfrom the general function spaceF(p,q,s)to the weighted-type spaceHμ∞in the unit ball.

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