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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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space [PDF]
Journal of Function Spaces, 2015 We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative ...
Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou
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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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Journal of Inequalities and Applications, 2011 This paper characterizes the boundedness and compactness of the weighted differentiation composition operator from weighted Bergman space to nth weighted space on the unit disk of ≤.
Zhang Liang, Zeng Hong-Gang
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On the dual space of a weighted Bergman space on the unit ball of Cn [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 The weighted Bergman space Aαp(Bn ...
J. S. Choa, H. O. Kim
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Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane [PDF]
Abstract and Applied Analysis, 2011 Let ψ be a holomorphic mapping on the upper half-plane Π+={z∈ℂ:Jz>0} and φ be a holomorphic self-map of Π+. We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane ...
Stevo Stević +2 more
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Weighted Bergman Kernels and Mathematical Physics [PDF]
Axioms, 2020 We review several results in the theory of weighted Bergman kernels. Weighted Bergman kernels generalize ordinary Bergman kernels of domains Ω ⊂ C n but also appear locally in the attempt to quantize classical states of mechanical systems ...
Elisabetta Barletta +2 more
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Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces [PDF]
Journal of Inequalities and Applications, 2009 Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
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On an interpolation problem on a class of a radially weighted harmonic Bergman space
Journal of Inequalities and ApplicationsThe purpose of the present article is to interpolate a sequence by a function in the space of a weighted harmonic Bergman space on the unit ball such that the weight is provided radially.
Mohammed El Aïdi
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