Results 1 to 10 of about 185 (65)
Bounded and compact Hankel operators on the Fock-Sobolev spaces
Filomat, 2022 This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators on the Fock-Sobolev spaces Fp,m in terms of symbols in BMO pr and VMO pr spaces, respectively, for a non-negative integers m, 1 ? p < ? and r > 0.
Anuradha Gupta, B. Gupta
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Spectra of Weighted Composition Operators with Quadratic Symbols
Concrete Operators, 2022 Previously, spectra of certain weighted composition operators W ѱ, φ on H2 were determined under one of two hypotheses: either φ converges under iteration to the Denjoy-Wolff point uniformly on all of 𝔻 rather than simply on compact subsets, or φ is ...
Doctor Jessica +4 more
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Miskolc Mathematical Notes, 2021 . In this paper, we explain some sufficient conditions for unitariness of Toeplitz operators and little Hankel operators on the Bergman space.
Chinmayee Padhy, P. Jena, S. K. Paikray
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A derivative-Hilbert operator acting on Dirichlet spaces
Open Mathematics, 2023 Let μ\mu be a positive Borel measure on the interval [0,1)\left[0,1). The Hankel matrix Hμ=(μn,k)n,k≥0{{\mathcal{ {\mathcal H} }}}_{\mu }={\left({\mu }_{n,k})}_{n,k\ge 0} with entries μn,k=μn+k{\mu }_{n,k}={\mu }_{n+k}, where μn=∫[0,1)tndμ(t){\mu }_{n}={
Xu Yun, Ye Shanli, Zhou Zhihui
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On hyponormality on a weighted annulus
Open Mathematics, 2021 In this work, we consider the hyponormality of Toeplitz operators on the Bergman space of the annulus with a logarithmic weight. We give necessary conditions when the symbol is of the form φ+ψ¯\varphi +\overline{\psi }, where φ\varphi and ψ\psi are ...
Sadraoui Houcine +2 more
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Ranks of commutators of truncated Toeplitz operators on finite dimensional spaces
, 2021 We study the rank of commutator [Aη ,A∗η ] of truncated Toeplitz operators Aη and A∗η with several type of inner symbols η on the model space Hθ with finite Blaschke product θ . Mathematics subject classification (2010): Primary 47B35; Secondary 32A37.
Yong Chen, K. Izuchi, Y. J. Lee
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Remarks on hyponormal Toeplitz operators with nonharmonic symbols
Open Mathematics, 2023 In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}).
Kim Sumin, Lee Jongrak
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On unitary equivalence to a self-adjoint or doubly–positive Hankel operator
Concrete Operators, 2022 Let A be a bounded, injective and self-adjoint linear operator on a complex separable Hilbert space. We prove that there is a pure isometry, V, so that AV > 0 and A is Hankel with respect to V, i.e. V*A = AV, if and only if A is not invertible.
Martin Robert T.W.
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Eigenvalue asymptotics for a class of multi-variable Hankel matrices
Concrete Operators, 2023 A one-variable Hankel matrix Ha{H}_{a} is an infinite matrix Ha=[a(i+j)]i,j≥0{H}_{a}={\left[a\left(i+j)]}_{i,j\ge 0}. Similarly, for any d≥2d\ge 2, a dd-variable Hankel matrix is defined as Ha=[a(i+j)]{H}_{{\bf{a}}}=\left[{\bf{a}}\left({\bf{i}}+{\bf{j}})]
Tantalakis Christos Panagiotis
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Multivariate Analogue of Slant Toeplitz Operators
Hacettepe Journal of Mathematics and Statistics, 2020 This paper discusses several structural and fundamental properties of the kth-order slant Toeplitz operators on the Lebesgue space of the ntorus Tn, for integers k ≥ 2 and n ≥ 1. We obtain certain equivalent conditions for the commutativity and essential
Gopal Datt, Shesh Kumar Pandey
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