scholarly journals Cyclicity of Special Operators on a BK with AK Space

2015 ◽  
Vol 2015 ◽  
pp. 1-3
Author(s):  
Leila Bagheri ◽  
Bahmann Yousefi
Keyword(s):  
Composition Operator ◽  
Weighted Composition Operator ◽  
Complex Domain ◽  
Bk Space ◽  
Weighted Composition

Let Ω be a complex domain and let F be a reflexive BK space with AK such that F^⊂H(Ω) and the functional of evaluation at λ is bounded for all λ∈Ω. We will investigate the cyclicity for the adjoint of a weighted composition operator acting on F^.

scholarly journals A Remark on Isometries of Absolutely Continuous Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-3
Author(s):  
Alireza Ranjbar-Motlagh
Keyword(s):  
Continuous Function ◽  
Composition Operator ◽  
Real Line ◽  
Weighted Composition Operator ◽  
Function Spaces ◽  
Absolutely Continuous ◽  
The Real ◽  
Absolutely Continuous Function ◽  
Weighted Composition ◽  
Vector Valued

The purpose of this article is to study the isometries between vector-valued absolutely continuous function spaces, over compact subsets of the real line. Indeed, under certain conditions, it is shown that such isometries can be represented as a weighted composition operator.

scholarly journals Essential norm of weighted composition operator betweenα-Bloch space andβ-Bloch space in polydiscs

2004 ◽  
Vol 2004 (71) ◽  
pp. 3941-3950
Author(s):  
Li Songxiao ◽  
Zhu Xiangling
Keyword(s):  
Holomorphic Function ◽  
Composition Operator ◽  
Bloch Space ◽  
Weighted Composition Operator ◽  
Essential Norm ◽  
Weighted Composition

Letφ(z)=(φ1(z),…,φn(z))be a holomorphic self-map of&#x1D53B;nandψ(z)a holomorphic function on&#x1D53B;n, where&#x1D53B;nis the unit polydiscs ofℂn. Let0<α,β<1, we compute the essential norm of a weighted composition operatorψCφbetweenα-Bloch spaceℬα(&#x1D53B;n)andβ-Bloch spaceℬβ(&#x1D53B;n).

scholarly journals Representation of Group Isomorphisms: The Compact Case

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Marita Ferrer ◽  
Margarita Gary ◽  
Salvador Hernández
Keyword(s):  
Continuous Function ◽  
Composition Operator ◽  
Discrete Group ◽  
Weighted Composition Operator ◽  
Continuous Functions ◽  
Group Isomorphism ◽  
Compact Spaces ◽  
Mild Conditions ◽  
Weighted Composition ◽  
Compact Case

LetGbe a discrete group and letAandBbe two subgroups ofG-valued continuous functions defined on two 0-dimensional compact spacesXandY. A group isomorphismHdefined betweenAandBis calledseparatingwhen, for each pair of mapsf, g∈Asatisfying thatf-1eG∪g-1eG=X, it holds thatHf-1eG∪Hg-1eG=Y. We prove that under some mild conditions every biseparating isomorphismH:A→Bcan be represented by means of a continuous functionh:Y→Xas a weighted composition operator. As a consequence we establish the equivalence of two subgroups of continuous functions if there is a biseparating isomorphism defined between them.

scholarly journals Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

2008 ◽  
Vol 2008 ◽  
pp. 1-12 ◽  
Author(s):  
Sei-Ichiro Ueki ◽  
Luo Luo
Keyword(s):  
Unit Ball ◽  
Composition Operator ◽  
Hardy Spaces ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Multiplication Operator ◽  
Essential Norm ◽  
Multiplication Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition

We estimate the essential norm of a compact weighted composition operator acting between different Hardy spaces of the unit ball in . Also we will discuss a compact multiplication operator between Hardy spaces.

scholarly journals Weighted composition operators from Bloch-type into Bers-type spaces

2021 ◽  
Vol 29 (2) ◽  
pp. 243-250
Author(s):  
HAMID VAEZI ◽  
MOHAMAD NAGHLISAR
Keyword(s):  
Composition Operator ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Sufficient Conditions ◽  
Weighted Composition Operators ◽  
Type Space ◽  
Bloch Type Space ◽  
Type Spaces ◽  
Weighted Composition ◽  
Necessary And Sufficient

In this paper we consider the weighted composition operator uC_{\varphi} from Bloch-type space B^{\alpha} into Bers-type space H_{\beta}^{\infty}, in three cases, \alpha>1, \alpha=1 and \alpha<1. We give the necessary and sufficient conditions for boundedness and compactness of the above operator.

scholarly journals Spectrums and Uniform Mean Ergodicity of Weighted Composition Operators on Fock Spaces

2021 ◽  
Author(s):  
Werkaferahu Seyoum ◽  
Tesfa Mengestie
Keyword(s):  
Composition Operator ◽  
Composition Operators ◽  
Linear Expansion ◽  
Weighted Composition Operator ◽  
Weighted Composition Operators ◽  
Fock Spaces ◽  
Ergodic Properties ◽  
Weighted Composition ◽  
Mean Ergodicity ◽  
Power Bounded

AbstractFor holomorphic pairs of symbols $$(u, \psi )$$ ( u , ψ ) , we study various structures of the weighted composition operator $$ W_{(u,\psi )} f= u \cdot f(\psi )$$ W ( u , ψ ) f = u · f ( ψ ) defined on the Fock spaces $$\mathcal {F}_p$$ F p . We have identified operators $$W_{(u,\psi )}$$ W ( u , ψ ) that have power-bounded and uniformly mean ergodic properties on the spaces. These properties are described in terms of easy to apply conditions relying on the values |u(0)| and $$|u(\frac{b}{1-a})|$$ | u ( b 1 - a ) | , where a and b are coefficients from linear expansion of the symbol $$\psi $$ ψ . The spectrum of the operators is also determined and applied further to prove results about uniform mean ergodicity.

Weighted composition operator on the gamma spaces $$\Gamma _{X}(w)$$

2021 ◽  
Vol 11 (4) ◽  
Author(s):  
René Erlin Castillo ◽  
Rainier Sánchez ◽  
Eduard Trousselot
Keyword(s):  
Composition Operator ◽  
Weighted Composition Operator ◽  
Weighted Composition
Sign in / Sign up

Export Citation Format

Share Document