scholarly journals On Bloch-Type Functions with Hadamard Gaps

2007 ◽  
Vol 2007 ◽  
pp. 1-8 ◽  
Author(s):  
Stevo Stevic
Keyword(s):  
Analytic Function ◽  
Unit Ball ◽  
Analytic Functions ◽  
Homogeneous Polynomial ◽  
Necessary Conditions ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Norm Space ◽  
Hadamard Gaps ◽  
Sufficient And Necessary Conditions

We give some sufficient and necessary conditions for an analytic functionfon the unit ballBwith Hadamard gaps, that is, forf(z)=∑k=1∞Pnk(z)(the homogeneous polynomial expansion off) satisfyingnk+1/nk≥λ>1for allk∈ℕ, to belong to the spaceℬpα(B)={f|sup0<r<1(1−r2)α\|ℛfr\|p<∞,f∈H(B)},p=1,2,∞as well as to the corresponding little space. A remark on analytic functions with Hadamard gaps on mixed norm space on the unit disk is also given.

scholarly journals On an Integral-Type Operator from Zygmund-Type Spaces to Mixed-Norm Spaces on the Unit Ball

2010 ◽  
Vol 2010 ◽  
pp. 1-7 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Type Operator ◽  
Mixed Norm ◽  
Integral Type ◽  
Mixed Norm Space ◽  
Mixed Norm Spaces ◽  
Norm Space ◽  
Type Spaces

The boundedness and compactness of an integral-type operator recently introduced by the author from Zygmund-type spaces to the mixed-norm space on the unit ball are characterized here.

scholarly journals Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Composition Operators ◽  
Holomorphic Functions ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Type Space ◽  
Spaces Of Holomorphic Functions ◽  
Schmidt Norm ◽  
Norm Space ◽  
Weighted Type

The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here. We also calculate the Hilbert-Schmidt norm of the operator on the weighted Bergman-Hilbert space as well as on the Hardy space.

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.

Integral-type operators from a mixed norm space to a bloch-type space on the unit ball

2009 ◽  
Vol 50 (6) ◽  
pp. 1098-1105 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Mixed Norm ◽  
Integral Type ◽  
Mixed Norm Space ◽  
Type Space ◽  
Bloch Type Space ◽  
Norm Space

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 .

On operator from the logarithmic Bloch-type space to the mixed-norm space on the unit ball

2010 ◽  
Vol 215 (12) ◽  
pp. 4248-4255 ◽  
Author(s):  
Stevo Stević
Keyword(s):  
Unit Ball ◽  
Mixed Norm ◽  
Mixed Norm Space ◽  
Type Space ◽  
Bloch Type Space ◽  
Norm Space

Coefficient multipliers of mixed norm space in the ball

2006 ◽  
Vol 49 (11) ◽  
pp. 1491-1503 ◽  
Author(s):  
Jihuai Shi ◽  
Guangbin Ren
Keyword(s):  
Mixed Norm ◽  
Mixed Norm Space ◽  
Norm Space ◽  
Coefficient Multipliers
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