Bergman Type Spaces on the Unit Disk

2001 ◽  
pp. 399-409 ◽  
Author(s):  
Nikolai Vasilevski
Keyword(s):  
Unit Disk ◽  
Type Spaces

scholarly journals Bloch-Type Spaces of Minimal Surfaces

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Guanghua He ◽  
Xi Fu ◽  
Hancan Zhu
Keyword(s):  
Unit Disk ◽  
Composition Operator ◽  
Minimal Surfaces ◽  
Lipschitz Functions ◽  
Type Spaces

We study Bloch-type spaces of minimal surfaces from the unit disk D into Rn and characterize them in terms of weighted Lipschitz functions. In addition, the boundedness of a composition operator Cϕ acting between two Bloch-type spaces is discussed.

scholarly journals The Multiplication Operator fromF(p,q,s)Spaces tonth Weighted-Type Spaces on the Unit Disk

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Yongmin Liu ◽  
Yanyan Yu
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Multiplication Operator ◽  
Space Of Analytic Functions ◽  
Type Spaces ◽  
Weighted Type

LetH(𝔻)be the space of analytic functions on𝔻andu∈H(𝔻). The boundedness and compactness of the multiplication operatorMufromF(p,q,s),(or  F0(p,q,s))spaces tonth weighted-type spaces on the unit disk are investigated in this paper.

scholarly journals On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains inCn

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Romi F. Shamoyan ◽  
Olivera Mihić
Keyword(s):  
Unit Disk ◽  
Bergman Kernel ◽  
Extremal Problems ◽  
Bergman Projection ◽  
Bounded Domains ◽  
Bounded Symmetric Domains ◽  
Siegel Domains ◽  
Type Spaces ◽  
Tube Type ◽  
Homogeneous Domains

Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains inCn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounded symmetric domains of tube type, Siegel domains, and minimal bounded homogeneous domains.

scholarly journals Riemann-Stieltjes operators between Bergman-type spaces andα-Bloch spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-17 ◽  
Author(s):  
Songxiao Li
Keyword(s):  
Analytic Function ◽  
Unit Disk ◽  
Complex Plane ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Bloch Spaces ◽  
Type Spaces

We study the following integral operators:Jgf(z)=∫0zf(ξ)g′(ξ)dξ;Igf(z)=∫0zf′(ξ)g(ξ)dξ, wheregis an analytic function on the open unit disk in the complex plane. The boundedness and compactness ofJg,Igbetween the Bergman-type spaces and theα-Bloch spaces are investigated.

scholarly journals On Distance Function in Some New Analytic Bergman Type Spaces inℂn

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Romi F. Shamoyan ◽  
Olivera R. Mihić
Keyword(s):  
Unit Disk ◽  
Distance Function ◽  
Harmonic Functions ◽  
Higher Dimensions ◽  
Mixed Norm ◽  
Type Spaces

We extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new analytic Bergman type spaces in higher dimensions inℂn. Also, we study the same problem in anisotropic mixed normh(p,q,s)spaces consisting ofn-harmonic functions on the unit polydisc ofℂn.

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