Results 1 to 10 of about 4,854,913 (333)
Hyponormality on a Weighted Bergman Space [PDF]
Journal of Function Spaces, 2020 A bounded Hilbert space operator T is hyponormal if T∗T−TT∗ is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space.
Houcine Sadraoui +3 more
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Compact generalized weighted composition operators on the Bergman space [PDF]
Opuscula Mathematica, 2017 We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.
Qinghua Hu, Xiangling Zhu
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Sarason Conjecture on the Bergman space [PDF]
International Mathematics Research Notices, 2013 We provide a counterexample to the Sarason Conjecture for the Bergman space and present a characterisation of bounded Toeplitz products on the Bergman space in terms of test functions by means of a dyadic model approach.
A. Aleman, S. Pott, M. Reguera
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The Duals of Harmonic Bergman Spaces [PDF]
Proceedings of the American Mathematical Society, 1990 In this paper we show that for Ω \Omega , a starlike Lipschitz domain, the dual of the space of harmonic functions in L p ( Ω ) {L^p}(\Omega ) need not be the harmonic functions in L q
Charles V. Coffman, Jonathan Cohen
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Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
Discrete Dynamics in Nature and Society, 2009 The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized.
Stevo Stević
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Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach [PDF]
Integral equations and operator theory, 2022 For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators.
G. Rozenblum, N. Vasilevski
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Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 517.5We introduce new spaces of holomorphic functions on the pointed unit disc in <em>C</em> that generalize classical Bergman spaces. We prove some fundamental properties of these spaces and their dual spaces. Finally, we extend the Hardy – Littlewood and Fejer – Riesz inequalities to these spaces with application of the Toeplitz ...
N. Ghiloufi, M. Zaway
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Commuting H-Toeplitz operators with quasihomogeneous symbols
AIMS Mathematics, 2022 In this paper, we characterize the commutativity of H-Toeplitz operators with quasihomogeneous symbols on the Bergman space, which is different from the case of Toeplitz operators with same symbols on the Bergman space.
Jinjin Liang +3 more
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Logarithmic Bergman-type space and a sum of product-type operators
AIMS Mathematics, 2023 One of the aims of the present paper is to obtain some properties about logarithmic Bergman-type space on the unit ball. As some applications, the bounded and compact operators $ \mathfrak{S}^m_{\vec{u}, {\varphi}} = \sum_{i = 0}^{m}M_{u_i}C_{\varphi}\Re^
Yan-fu Xue +3 more
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Composition-Differentiation Operator on the Bergman Space
Pan-American Journal of Mathematics, 2023 We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
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