On a new operator from the logarithmic Bloch space to the Bloch-type space on the unit ball

2008 ◽  
Vol 206 (1) ◽  
pp. 313-320 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Bloch Space ◽  
Type Space ◽  
Bloch Type Space

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 ON AN INTEGRAL OPERATOR FROM THE ZYGMUND SPACE TO THE BLOCH-TYPE SPACE ON THE UNIT BALL

2009 ◽  
Vol 51 (2) ◽  
pp. 275-287 ◽  
Author(s):  
STEVO STEVIĆ
Keyword(s):  
Integral Operator ◽  
Unit Ball ◽  
Zygmund Space ◽  
Type Space ◽  
Bloch Type Space

AbstractIn this paper, we introduce an integral operator on the unit ball$\BB\subset\CC^n$. The boundedness and compactness of the operator from the Zygmund space to the Bloch-type space${\mathcal B}_\mu(\BB)$or the little Bloch-type space${\mathcal B}_{\mu,0}(\BB)$are investigated.

scholarly journals Weighted Composition Operator from Mixed Norm Space to Bloch-Type Space on the Unit Ball

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Yu-Xia Liang ◽  
Ren-Yu Chen
Keyword(s):  
Unit Ball ◽  
Composition Operator ◽  
Weighted Composition Operator ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Type Space ◽  
Bloch Type Space ◽  
Norm Space ◽  
Weighted Composition

We discuss the boundedness and compactness of the weighted composition operator from mixed norm space to Bloch-type space on the unit ball ofCn.

scholarly journals Extended Cesàro operator between some holomorphic function spaces

2006 ◽  
Vol 74 (3) ◽  
pp. 385-392
Author(s):  
Xiaofen Lv
Keyword(s):  
Holomorphic Function ◽  
Unit Ball ◽  
Function Spaces ◽  
Mixed Norm ◽  
Cesàro Operator ◽  
Mixed Norm Space ◽  
Type Space ◽  
Bloch Type Space ◽  
Norm Space ◽  
Cesaro Operator

We characterize the boundedness and compactness of the extended Cesàro operator Tg from H∞ to the mixed norm space and Bloch-type space (or little Bloch-type space), where g is a given holomorphic function in the unit ball of Cn and Tg is defined by .

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