scholarly journals On generalized superposition operator acting of analytic function spaces

2015 ◽  
Vol 23 (1) ◽  
pp. 134-138
Author(s):  
Alaa Kamal Mohamed
Keyword(s):  
Analytic Function ◽  
Function Spaces ◽  
Superposition Operator ◽  
Analytic Function Spaces

scholarly journals Integral Superposition-Type Operators on Some Analytic Function Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
A. El-Sayed Ahmed ◽  
S. Omran
Keyword(s):  
Analytic Function ◽  
Entire Functions ◽  
Bloch Space ◽  
Function Spaces ◽  
Superposition Operator ◽  
Superposition Operators ◽  
Type Spaces ◽  
Analytic Function Spaces

All entire functions which transform a class of holomorphic Zygmund-type spaces into weighted analytic Bloch space using the so-called n -generalized superposition operator are characterized in this paper. Moreover, certain specific properties such as boundedness and compactness of the newly defined class of generalized integral superposition operators are discussed and established by using the concerned entire functions.

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.

Sign in / Sign up

Export Citation Format

Share Document