Results 1 to 10 of about 3,392 (265)
Meromorphic Bergman spaces [PDF]
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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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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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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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 We introduce new multifunctional mixed norm analytic Herz-type spaces in tubular domains over symmetric cones and provide new sharp embedding theorems for them. Some results are new even in case of onefunctional holomorphic spaces. Some new related sharp
Shamoyan, R.F., Tomashevskaya, E.B.
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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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Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane
Communications in Advanced Mathematical Sciences, 2020 Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
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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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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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ON DECOMPOSITION THEOREMS OF MULTIFUNCTIONAL BERGMAN TYPE SPACES IN SOME DOMAINS IN Cn
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We present some extensions of well-known one functional results on atomic decompositions in classical Bergman spaces obtained earlier by various authors in some new multifunctional Bergman type spaces in various domains in higher dimension.
R. F. Shamoyan
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On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Journal of Function Spaces, 2014 Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to ...
Romi F. Shamoyan, Olivera Mihić
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