Results 11 to 20 of about 3,900,799 (251)
Sarason Conjecture on the Bergman space [PDF]
International Mathematics Research Notices, 2017 We provide a counterexample to the Sarason Conjecture for the Bergman space and present a characterisation of bounded Toeplitz products on the Bergman space in terms of test functions by means of a dyadic model approach.
Aleman, A +4 more
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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
doaj +2 more sources
Weighted sub-Bergman Hilbert spaces in the unit disk [PDF]
, 2010 summary:We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generalize the results already obtained by Kehe Zhu for the standard Bergman space $A^2$
A. Abkar +3 more
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Stability and covergence properties of Bergman Kernel methods for numerical conformal mapping [PDF]
, 1984 In this paper we study the stability and convergence properties of Bergman kernel methods, for the numerical conform al mapping of simply and doubly- connected domains.
Warby, M K, Papamichael, N
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The role of imagination in Bergman, Klein and Sartre [PDF]
, 2013 This thesis was submitted for the degree of Doctor of Philosophy and was awarded by Brunel UniversityThis thesis provides an inter-disciplinary study of selected works by Ingmar Bergman.
Williams, Daniel
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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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Bounded extremal problems in Bergman and Bergman-Vekua spaces [PDF]
Complex Variables and Elliptic Equations, 2020 We analyze Bergman spaces A p f (D) of generalized analytic functions of solutions to the Vekua equation $\partial$w = ($\partial$f /f)w in the unit disc of the complex plane, for Lipschitz-smooth non-vanishing real valued functions f and 1 < p < $\infty$.
Delgado, Briceyda, Leblond, Juliette
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The Bergman property for semigroups [PDF]
, 2009 In this article, we study the Bergman property for semigroups and the associated notions of cofinality and strong cofinality. A large part of the paper is devoted to determining when the Bergman property, and the values of the cofinality and strong ...
Ruskuc, N. +7 more
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Geometric Hardy and Bergman spaces. [PDF]
Michigan Mathematical Journal, 2000 This paper shows the relation between the generalized Hardy space and the geometric Hardy space. The authors first recall the properties of the geometric Bergman spaces on a complex manifold and then define the general bundle-valued Hardy spaces. After then, using the theory of Hardy spaces such as the Cayley transform, they establish the properties of
Bertram, Wolfgang, Hilgert, Joachim
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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
Abakumov, Evgeny +2 more
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