Aluthge Transformation of Quasi n-class Q and quasi n- class Q* Operators

In this paper, a new class of operators called quasi n-class Q and quasi n-class Q*operators are introduced and studied some properties. Quasi n-class Q and quasi n-class Q* composition and weighted composition operators on L2() and H2() are characterized. Also we discuss quasi n-class Q and quasi n-class Q composite multiplication operator on L2 space and Aluthge transformation of these class of operators are obtained.

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Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

Abstract and Applied Analysis ◽

10.1155/2008/196498 ◽

2008 ◽

Vol 2008 ◽

pp. 1-12 ◽

Cited By ~ 33

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.

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Isometric multiplication operators and weighted composition operators of BMOA

Journal of Inequalities and Applications ◽

10.1186/s13660-021-02689-6 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Ligang Geng

Keyword(s):

Analytic Function ◽

Unit Disk ◽

Composition Operator ◽

Composition Operators ◽

Weighted Composition Operator ◽

Multiplication Operator ◽

Multiplication Operators ◽

Weighted Composition Operators ◽

Weighted Composition

AbstractLet u be an analytic function in the unit disk $\mathbb{D}$ D and φ be an analytic self-map of $\mathbb{D}$ D . We give characterizations of the symbols u and φ for which the multiplication operator $M_{u}$ M u and the weighted composition operator $M_{u,\varphi }$ M u , φ are isometries of BMOA.

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Stability constants for weighted composition operators on $L^p(\Sigma)$

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1503453710 ◽

2017 ◽

Vol 24 (2) ◽

pp. 271-281

Author(s):

M. R. Jabbarzadeh ◽

M. Jafari Bakhshkandi

Keyword(s):

Stability Constants ◽

Composition Operators ◽

Weighted Composition Operators ◽

Weighted Composition

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Quasi - P-normal composition and weighted composition operators on the complex Hilbert space and n power class (Q) operators and composition operators on the Hilbert space

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.3.3 ◽

2020 ◽

Vol 9 (3) ◽

Author(s):

K. M. Manikandan ◽

T. Veluchamy

Keyword(s):

Hilbert Space ◽

Composition Operators ◽

Complex Hilbert Space ◽

Weighted Composition Operators ◽

Weighted Composition ◽

Normal Composition ◽

Power Class

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Almost Weighted Composition Operators Between Banach Function Algebras

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-021-00543-5 ◽

2021 ◽

Author(s):

Ozra Khalilian ◽

Masoumeh Najafi Tavani

Keyword(s):

Composition Operators ◽

Weighted Composition Operators ◽

Function Algebras ◽

Weighted Composition ◽

Banach Function Algebras

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Weighted composition operators between μ-Bloch spaces on the unit ball

Science in China Series A Mathematics ◽

10.1360/04ys0142 ◽

2005 ◽

Vol 48 (10) ◽

pp. 1349 ◽

Cited By ~ 19

Author(s):

Xuejun ZHANG

Keyword(s):

Unit Ball ◽

Composition Operators ◽

Weighted Composition Operators ◽

Bloch Spaces ◽

Weighted Composition

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Invertible Weighted Composition Operators on the Fock Space ofCN

Journal of Function Spaces ◽

10.1155/2015/250358 ◽

2015 ◽

Vol 2015 ◽

pp. 1-5 ◽

Cited By ~ 4

Author(s):

Liankuo Zhao

Keyword(s):

Fock Space ◽

Composition Operators ◽

Complete Characterization ◽

Weighted Composition Operators ◽

Weighted Composition

We give a complete characterization of bounded invertible weighted composition operators on the Fock space ofCN.

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Weighted composition operators from Bergman–Privalov-type spaces to weighted-type spaces on the unit ball

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.06.049 ◽

2010 ◽

Vol 217 (5) ◽

pp. 1939-1943 ◽

Cited By ~ 9

Author(s):

Stevo Stević

Keyword(s):

Unit Ball ◽

Composition Operators ◽

Weighted Composition Operators ◽

Type Spaces ◽

Weighted Composition ◽

Weighted Type

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Inner functions and weighted composition operators on the Hardy-Hilbert space with the unbounded weights

Annals of Functional Analysis ◽

10.15352/afa/06-2-10 ◽

2015 ◽

Vol 6 (2) ◽

pp. 104-115

Author(s):

Kei Ji Izuchi ◽

Kou Hei Izuchi ◽

Yuko Izuchi

Keyword(s):

Hilbert Space ◽

Composition Operators ◽

Weighted Composition Operators ◽

Inner Functions ◽

Weighted Composition

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Essential norm of weighted composition operators

Analysis ◽

10.1515/anly-2017-0027 ◽

2018 ◽

Vol 38 (3) ◽

pp. 145-154

Author(s):

Kuldip Raj ◽

Charu Sharma

Keyword(s):

Composition Operators ◽

Essential Norm ◽

Function Spaces ◽

Weighted Composition Operators ◽

Closed Range ◽

Weighted Composition

Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.

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