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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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Bergman spaces with exponential type weights
Journal of Inequalities and Applications, 2021 For 1 ≤ p < ∞ $1\le ...
Hicham Arroussi
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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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The Numerical Range of Toeplitz Operator on the Polydisk
Abstract and Applied Analysis, 2009 The numerical range and normality of Toeplitz operator acting on the Bergman space and pluriharmonic Bergman space on the polydisk is investigated in this paper.
Dinggui Gu
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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
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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Multiplication Operator with BMO Symbols and Berezin Transform
Journal of Function Spaces, 2015 We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng +4 more
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On the Commutativity of a Certain Class of Toeplitz Operators
Concrete Operators, 2014 One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam +2 more
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Little Hankel operators on the Bergman space
Arab Journal of Mathematical Sciences, 2016 In this paper we obtain a characterization of little Hankel operators defined on the Bergman space of the unit disk and then extend the result to vector valued Bergman spaces.
Namita Das, Pabitra Kumar Jena
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The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn
Abstract and Applied Analysis, 2010 In 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space Ap(B) (p>1)
Luo Luo, Yang Xuemei
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Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
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