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Compact differences of weighted composition operators on the weighted Bergman spaces [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which ...
Maocai Wang, Xingxing Yao, Fen Chen
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Toeplitz Operators on Weighted Bergman Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the Bekollé-Bonami condition in terms of the Berezin transform.
Gerardo R. Chacón
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Bergman projections on weighted Fock spaces in several complex variables [PDF]
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES
Communications of the Korean Mathematical Society, 2003 Summary: We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element \(f\) in \(B^{p,r}\), there is a unique \(\widetilde{f}\) in \(B^{p,r}\) such that \(f\) is the radial derivative of \(\widetilde{f}\) and for each \(f \in \mathcal{B}^{r}(i)\), \(f\) is the radial derivative of some element of ...
Kang, Si Ho, Kim, Ja Young
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Fredholmness of multiplication of a weighted composition operator with its adjoint on H 2 $H^{2}$ and A α 2 $A_{\alpha}^{2}$ [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we obtain that C ψ , φ ∗ $C_{\psi,\varphi}^{\ast}$ is bounded below on H 2 $H^{2}$ or A α 2 $A_{\alpha}^{2}$ if and only if C ψ , φ $C_{\psi,\varphi }$ is invertible. Moreover, we investigate the Fredholm operators C ψ 1 , φ 1 C ψ 2 , φ 2 ∗
Mahmood Haji Shaabani
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Hyponormality on a Weighted Bergman Space [PDF]
Journal of Function Spaces, 2020 A bounded Hilbert space operatorTis hyponormal ifT∗T−TT∗is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space. We find a necessary condition for hyponormality in the case of a symbol of the formf+g¯wherefandgare bounded analytic functions on the unit disk.
Houcine Sadraoui +3 more
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Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions
Axioms, 2023 The metrical boundedness and metrical compactness of a new operator from the weighted Bergman-Orlicz spaces to the weighted-type spaces and little weighted-type spaces of analytic functions are characterized.
Stevo Stević
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On a product-type operator from weighted Bergman–Orlicz space to some weighted type spaces
Applied Mathematics and Computation, 2015 Zhi-Jie Jiang
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Composition Semigroups on Weighted Bergman Spaces Induced by Doubling Weights
Journal of Mathematics, 2021 We prove that composition semigroups are strongly continuous on weighted Bergman spaces with doubling weights. Point spectra and compact resolvent operators of infinitesimal generators of composition semigroups are characterized.
Fanglei Wu
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Journal of Inequalities and Applications, 2019 Closures of weighted Bergman spaces in Bloch type spaces are investigated in the paper. Moreover, the boundedness and compactness of the product of composition and differentiation operators from Bloch type spaces to closures of weighted Bergman spaces ...
Li-Xu Zhang
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