scholarly journals The product-type operators from logarithmic Bloch spaces to Zygmund-type spaces

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3639-3653 ◽  
Author(s):  
Yongmin Liu ◽  
Yanyan Yu
Keyword(s):  
Positive Integer ◽  
Product Type ◽  
Type Operator ◽  
Bloch Spaces ◽  
Type Spaces

The boundedness and compactness of a product-type operator, recently introduced by S. Stevic, A. Sharma and R. Krishan, Tn?1,?2,?f(z) = ?1(z) f(n)(?(z)) + ?2(z) f(n+1)(?(z)), f ? H(D), from the logarithmic Bloch spaces to Zygmund-type spaces are characterized, where ?1, ?2 ? H(D),? is an analytic self-map of D and n a positive integer.

scholarly journals Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Huiying Qu ◽  
Yongmin Liu ◽  
Shulei Cheng
Keyword(s):  
Positive Integer ◽  
Unit Disk ◽  
Composition Operator ◽  
Holomorphic Functions ◽  
Bloch Spaces ◽  
Type Spaces

LetH(𝔻)denote the space of all holomorphic functions on the unit disk𝔻ofℂ,u∈H(𝔻)and let  nbe a positive integer,φa holomorphic self-map of𝔻, andμa weight. In this paper, we investigate the boundedness and compactness of a weighted differentiation composition operator𝒟φ,unf(z)=u(z)f(n)(φ(z)),f∈H(𝔻), from the logarithmic Bloch spaces to the Zygmund-type spaces.

scholarly journals Integral-Type Operators from Bloch-Type Spaces toQKSpaces

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Stevo Stević ◽  
Ajay K. Sharma
Keyword(s):  
Holomorphic Function ◽  
Unit Disk ◽  
Type Operator ◽  
Integral Type ◽  
Bloch Spaces ◽  
Type Spaces

The boundedness and compactness of the integral-type operatorIφ,g(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ,wheren∈N0,φis a holomorphic self-map of the unit diskD,andgis a holomorphic function onD, fromα-Bloch spaces toQKspaces are characterized.

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.

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