scholarly journals Cyclicity of the adjoint of weighted composition operators on the hilbert space of analytic functions

2011 ◽  
Vol 61 (2) ◽  
pp. 551-563 ◽  
Author(s):  
Zahra Kamali ◽  
Bahram Khani Robati ◽  
Karim Hedayatian
Keyword(s):  
Hilbert Space ◽  
Analytic Functions ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Space Of Analytic Functions ◽  
Weighted Composition

scholarly journals Non-Weakly Supercyclic Weighted Composition Operators

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Z. Kamali ◽  
K. Hedayatian ◽  
B. Khani Robati
Keyword(s):  
Analytic Functions ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Weighted Composition Operators ◽  
Open Unit Disc ◽  
Space Of Analytic Functions ◽  
Weighted Composition ◽  
Necessary And Sufficient

We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functions on the open unit disc.

scholarly journals Weighted composition operators between weak spaces of vector-valued analytic functions

Analysis ◽  
2017 ◽  
Vol 37 (1) ◽  
Author(s):  
Mostafa Hassanlou ◽  
Jussi Laitila ◽  
Hamid Vaezi
Keyword(s):  
Analytic Functions ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Vector Valued

AbstractWe consider weighted composition operators

scholarly journals Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Flavia Colonna ◽  
Songxiao Li
Keyword(s):  
Banach Space ◽  
Hardy Spaces ◽  
Composition Operators ◽  
Bloch Space ◽  
Weighted Composition Operator ◽  
Open Unit ◽  
Weighted Composition Operators ◽  
Open Unit Disk ◽  
Space Of Analytic Functions ◽  
Weighted Composition

The logarithmic Bloch spaceBlog⁡is the Banach space of analytic functions on the open unit disk&#x1D53B;whose elementsfsatisfy the condition∥f∥=sup⁡z∈&#x1D53B;(1-|z|2)log⁡  (2/(1-|z|2))|f'(z)|<∞. In this work we characterize the bounded and the compact weighted composition operators from the Hardy spaceHp(with1≤p≤∞) into the logarithmic Bloch space. We also provide boundedness and compactness criteria for the weighted composition operator mappingHpinto the little logarithmic Bloch space defined as the subspace ofBlog⁡consisting of the functionsfsuch thatlim⁡|z|→1(1-|z|2)log⁡  (2/(1-|z|2))|f'(z)|=0.

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