Results 21 to 30 of about 284 (178)
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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The Duals of Harmonic Bergman Spaces [PDF]
Proceedings of the American Mathematical Society, 1990 In this paper we show that for Ω \Omega
Coffman, Charles V., Cohen, Jonathan
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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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Sampling with Derivatives in the Bergman Space [PDF]
Sampling Theory in Signal and Image Processing, 2017 Summary: We characterize sets of sampling for Bergmann space functions and their derivatives. In particular, we show that the methods used in the setting of the Bargmann-Fock space can be adapted to our purpose.
Cahill, Jameson, Schuster, Alexander
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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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On Similarity and Reducing Subspaces of the n-Shift plus Certain Weighted Volterra Operator
Journal of Function Spaces, 2017 Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1 defined by the multiplication operator Mg plus the weighted Volterra operator Vg on the Bergman space.
Yucheng Li, Hao Chen, Wenhua Lan
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Bergman projections on weighted Fock spaces in several complex variables
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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Monsters in Hardy and Bergman Spaces [PDF]
Complex Variables, Theory and Application: An International Journal, 2002 Plan Andaluz de Investigación (Junta de Andalucía)
Bernal González, Luis +1 more
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Beurling's Theorem for the Bergman space
Acta Mathematica, 1996 Let \(L^2_a\) be the Hilbert space of the functions analytic in the unit disk \(D\) of the complex plane satisfying the inequality \(\int_{|z|
Aleman, A., Richter, S., Sundberg, C.
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