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Dual Toeplitz operators on orthogonal complement of the harmonic Dirichlet space

Acta Mathematica Sinica, English Series, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Chen
exaly   +3 more sources

(Asymmetric) Dual Truncated Toeplitz Operators

2022
Multiplication operators on the space L2(T) on the unit circle T with Lebesgue measure are classical operators. So are Toeplitz operators on the Hardy space H2⊂L2(T). Sarason’s paper (Oper Metrices 1:491–526, 2007) has started investigations of truncated Toeplitz operators (TTO), i.e., compressions of these multiplication operators to model spaces.
M. Cristina Câmara   +2 more
openaire   +2 more sources

Commuting Dual Toeplitz Operators on the Polydisk

Acta Mathematica Sinica, English Series, 2006
Let \(\Omega\) be a bounded domain in \(\mathbb C^n\) and let \[ P:L^2(\Omega,dv)\to L^2_a(\Omega,dv) \] denote the Bergman projection, where \(L^2_a(\Omega,dv)\) is the Bergman space consisting of holomorphic functions in \(L^2(\Omega,dv)\). For a bounded function \(\varphi\) on \(\Omega\), the dual Toeplitz operator \(S_\varphi\) is the bounded ...
Lu, Yu Feng, Shang, Shu Xia
openaire   +2 more sources

Dual Toeplitz Operators on the Sphere Via Spherical Isometries

Integral Equations and Operator Theory, 2015
Let \(\mathbb{B}_n\) be the open Euclidean unit ball in \(\mathbb{C}^n\), \(\mathbb{S}_n=\partial\mathbb{B}_n\) its boundary and \(\sigma\) the normalized surface measure on \(\mathbb{S}_n\). Given \(\varphi\in L^\infty(\sigma)\), the Toeplitz operator \(T_\varphi\) with symbol \(\varphi\) is defined as the compression of the multiplication operator ...
Didas, Michael, Eschmeier, Jörg
openaire   +2 more sources

Commuting dual Toeplitz operators on the harmonic Bergman space

Science China Mathematics, 2014
Let \(D\) be the unit disk, and \(dA\) be the normalized area measure on \(D\). The harmonic Bergman space \(L^2_h\) is the closed subspace of \(L^2(D, dA)\) which consists of the harmonic functions on \(D\), and let \(Q\) be the orthogonal projection of \(L^2(D, dA)\) onto \(L^2_h\).
Yang, Jingyu, Lu, Yufeng
openaire   +1 more source

Commuting dual Toeplitz operators on the harmonic Dirichlet space

Acta Mathematica Sinica, English Series, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Jing Yu   +3 more
openaire   +2 more sources

Block dual Toeplitz Operators on the Orthogonal Complements of Fock Spaces

Acta Mathematica Sinica, English Series
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong, Jian Xiang   +2 more
openaire   +2 more sources

Partially isometric truncated and dual truncated Toeplitz operators

Preliminary version.
Babbar, Kritika, Javed, Mo, Maji, Amit
openaire   +1 more source

Sums of Dual Toeplitz Products on the Orthogonal Complements of the Hardy–Sobolev Spaces

Complex Analysis and Operator Theory, 2021
Li He, Lee Young Joo
exaly  

Sums of Dual Toeplitz Products on the Orthogonal Complements of the Fock Spaces

Integral Equations and Operator Theory, 2021
Yong Chen, Lee Young Joo
exaly  

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