The multiplication operators on some analytic function spaces of the unit ball

2013 ◽  
Vol 123 (1) ◽  
pp. 33-46
Author(s):  
BENOÎT F SEHBA
Keyword(s):  
Analytic Function ◽  
Unit Ball ◽  
Function Spaces ◽  
Multiplication Operators ◽  
Analytic Function Spaces

scholarly journals On traces of analytic Gp type spaces, mixed norm spaces and harmonic Bergman classes on certain polydomains

Filomat ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 1-19
Author(s):  
Romi Shamoyan ◽  
Olivera Mihic
Keyword(s):  
Analytic Function ◽  
Unit Ball ◽  
Function Spaces ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Type Spaces ◽  
Analytic Function Spaces

In this paper, we introduce new Qp type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Complete descriptions of traces of harmonic Bergman classes on products of unit balls of Rn and products of Rn+1 half spaces will be also provided.

scholarly journals Norm of a Volterra Integral Operator on Some Analytic Function Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Hao Li ◽  
Songxiao Li
Keyword(s):  
Analytic Function ◽  
Integral Operator ◽  
Unit Disc ◽  
Function Spaces ◽  
Volterra Integral Operator ◽  
Analytic Function Spaces

Let f be an analytic function in the unit disc 𝔻. The Volterra integral operator If is defined as follows: If(h)(z)=∫0zf(w)h'(w)dw,h∈H(𝔻),z∈𝔻. In this paper, we compute the norm of If on some analytic function spaces.

scholarly journals On composition operators inQKtype spaces

2007 ◽  
Vol 5 (2) ◽  
pp. 103-122 ◽  
Author(s):  
Marko Kotilainen
Keyword(s):  
Banach Space ◽  
Analytic Function ◽  
Composition Operator ◽  
Composition Operators ◽  
Bloch Space ◽  
Function Spaces ◽  
Analytic Mapping ◽  
Analytic Function Spaces

Letp≥1,q>-2and letK:[0,∞)→[0,∞)be nondecreasing. With a different choice ofp,q,K, the Banach spaceQK(p,q)coincides with many well-known analytic function spaces. Boundedness and compactness of the composition operatorCφfromα-Bloch spaceBαintoQK(p,q)are characterized by a condition depending only on analytic mappingφ:𝔻→𝔻. The same properties are also studied in the caseCφ:QK(p,q)→Bα.

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