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Linear combination of derivative weighted composition operators

Transactions of Tianjin University, 2012
The relation between composition operators on the Dirichlet spaces in the open unit disk and derivative weighted composition operators on the Bergman spaces in the open unit disk is investigated firstly, and for a combination of several derivative weighted composition operators which acts on classic Bergman space, the lower bound of its essential norm ...
Cezhong Tong, Ligang Geng
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Joint hyponormality of composition operators with linear fractional symbols

Integral Equations and Operator Theory, 2002
Continuing the work of Cowen and Kriete, the author studies joint hyponormality and joint subnormality of \(n\)-tuples of commuting composition operators with linear fractional symbols, acting on the Hardy space \(H^2\). He presents conditions to ensure that an \(n\)-tuple is jointly subnormal if and only if it is jointly hyponormal.
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Linear-Fractional Composition Operators in Several Variables

Integral Equations and Operator Theory, 2005
We investigate properties of linear-fractional composition operators Cφ on Hardy and Bergman spaces of the ball in \(\mathbb{C}^N \) that are motivated by a formula for the self-commutator [Cφ* ,Cφ]. In particular, we characterize when certain commutators [Cφ, Cσ] are compact, and give conditions under which \(\left[ {T_{z^\beta } ^* ,C_\varphi ...
Barbara D. MacCluer, Rachel J. Weir
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Representing Invertible Linear Differential Operators as the Composition of Triangular Ones

Differential Equations, 2021
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Characterizations of binormal composition operators with linear fractional symbols on H2

Applied Mathematics and Computation, 2015
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Sungeun Jung, Yoenha Kim, Eungil Ko
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Linear combinations of composition operators on weighted Dirichlet spaces

Wuhan University Journal of Natural Sciences, 2015
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Compact linear combination of composition operators on Bergman spaces

Journal of Functional Analysis, 2020
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Boo Rim Choe, Hyungwoon Koo, Maofa Wang
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A Left Linear Weighted Composition Operator on Quaternionic Fock Space

Results in Mathematics, 2019
The work under review deals with some interesting properties of boundedness and compactness for a left linear weighted composition operator on slice regular quaternionic Fock space. Also, equivalent conditions for self-adjoint weighted operators and isometric weighted composition operators are considered.
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Compact linear combinations of composition operators on the unit ball

Acta Mathematica Scientia
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Dong, Chunyu, Guo, Xin, Kang, Qijian
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