Results 1 to 10 of about 125,313 (280)
Chui’s conjecture in Bergman spaces [PDF]
Mathematische Annalen, 2020 We solve Chui's conjecture on the simplest fractions (i.e., sums of Cauchy kernels with unit coefficients) in weighted (Hilbert) Bergman spaces. Namely, for a wide class of weights, we prove that for every $N$, the simplest fractions with $N$ poles on the unit circle have minimal norm if and only if the poles are equispaced on the circle. We find sharp
Evgeny Abakumov +2 more
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The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn [PDF]
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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On an interpolation problem on a class of a radially weighted harmonic Bergman space [PDF]
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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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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Bergman spaces with exponential type weights
Journal of Inequalities and Applications, 2021 For 1 ≤ p < ∞ $1\le ...
Hicham Arroussi
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Zero Sets for Spaces of Analytic Functions [PDF]
, 2018 We show that under mild conditions, a Gaussian analytic function $\boldsymbol F$ that a.s. does not belong to a given weighted Bergman space or Bargmann-Fock space has the property that a.s.
Lyons, Russell, Zhai, Alex
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Compact composition operators on Bergman-Orlicz spaces [PDF]
, 2010 We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal +3 more
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