Search Results - Bergman spaces of functions in several complex variables
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Quadrature Domains for the Bergman Space in Several Complex Variables
ISSN: 1617-9447, 2195-3724Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018Published in Computational methods and function theory (01.06.2018)“…We make use of the Bergman kernel function to study quadrature domains whose quadrature identities hold for L 2 holomorphic functions of several complex variables…”
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Weighted Bergman spaces induced by rapidly increasing weights
ISBN: 0821888021, 9780821888025ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2013“…This monograph is devoted to the study of the weighted Bergman space As to concrete objects to be studied, positive Borel measures…”
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Complex analysis : a functional analytic approach
ISBN: 3110417235, 9783110417234Published: Berlin De Gruyter 2018“…In this textbook, a concise approach to complex analysis of one and several variables…”
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4
On Polyanalytic Functions in Several Complex Variables
ISSN: 1661-8254, 1661-8262Published: Cham Springer International Publishing 01.09.2023Published in Complex analysis and operator theory (01.09.2023)“…We give a characterisation of the polyanalytic type subspaces of the Hilbert spaces H , being the weighted L 2 function spaces on a connected simply connected domains D ⊂ C n…”
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Small Bergman-Orlicz and Hardy-Orlicz spaces, and their composition operators
ISSN: 0025-5874, 1432-1823Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2019Published in Mathematische Zeitschrift (01.12.2019)“…We show that the weighted Bergman-Orlicz space A α ψ coincides with some weighted Banach space of holomorphic functions if and only if the Orlicz function ψ…”
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Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball
ISSN: 0025-5831, 1432-1807Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2015Published in Mathematische annalen (01.10.2015)“…We establish weak factorizations for a weighted Bergman space A α p , with 1 < p < ∞ , into two weighted Bergman spaces on the unit ball of C n…”
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Rational Approximation by Reproducing Kernel for Bergman Functions on Siegel Domains
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 30.05.2025Published in Mathematical methods in the applied sciences (30.05.2025)“…ABSTRACT Based on recent developments of reproducing kernels in several complex variables, we study the kernel approximation for weighted Bergman functions on Siegel domains…”
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Bergman projections on weighted Fock spaces in several complex variables
ISSN: 1029-242X, 1025-5834, 1029-242XPublished: Cham Springer International Publishing 2017Published in Journal of inequalities and applications (2017)“…Let ϕ be a real-valued plurisubharmonic function on C n whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ…”
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On Bergman type spaces of holomorphic functions and the density, in these spaces, of certain classes of singular functions
ISSN: 1747-6933, 1747-6941Published: 03.08.2018Published in Complex variables and elliptic equations (03.08.2018)Get full text
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Products of multiplication composition and differentiation operators on weighted Bergman spaces
ISSN: 0096-3003, 1873-5649Published: Amsterdam Elsevier Inc 15.06.2011Published in Applied mathematics and computation (15.06.2011)“… We consider linear operators induced by products of these operators on weighted Bergman spaces on D…”
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Berezin transform in polynomial bergman spaces
ISSN: 0010-3640, 1097-0312, 1097-0312Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.12.2010Published in Communications on pure and applied mathematics (01.12.2010)“…Fix a smooth weight function Q in the plane, subject to a growth condition from below…”
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A generalization of the Brown–Halmos theorems for the unit ball
ISSN: 0001-8708, 1090-2082Published: Elsevier Inc 06.08.2022Published in Advances in mathematics (New York. 1965) (06.08.2022)“…In this paper we generalize the classical theorems of Brown and Halmos about algebraic properties of Toeplitz operators to Bergman spaces over the unit ball in several complex variables…”
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On the theory of Bergman spaces on homogeneous Siegel domains
ISSN: 2524-7581, 2197-120XPublished: Cham Springer International Publishing 01.12.2023Published in Complex analysis and its synergies (01.12.2023)“…We consider mixed-norm Bergman spaces on homogeneous Siegel domains. In the literature, two different approaches have been considered and several results seem difficult to be compared…”
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Weighted composition operators from weighted Bergman spaces to weighted-type spaces on the unit ball
ISSN: 0096-3003, 1873-5649Published: Amsterdam Elsevier Inc 15.06.2009Published in Applied mathematics and computation (15.06.2009)“…We calculate the operator norm of the weighted composition operator from a weighted Bergman space to a weighted-type space on the unit ball of C n…”
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On Bergman-Orlicz and Campanato-Orlicz spaces of hyperbolic harmonic functions on the real unit ball
ISSN: 1747-6933, 1747-6941Published: Taylor & Francis 02.11.2025Published in Complex variables and elliptic equations (02.11.2025)“…Let Φ be a growth function. In this paper, we characterize Bergman-Orlicz spaces $ \mathcal {B}_{\alpha }^\Phi $ B α Φ…”
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The d-bar Neumann Problem and Schrödinger Operators
ISBN: 9783110315356, 3110315351, 9783110315301, 3110315300Published: Germany De Gruyter 2014“… equations.It begins with results on the canonical solution operator to restricted to Bergman spaces of holomorphic d-bar functions in one and several complex…”
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Carleson embeddings and some classes of operators on weighted Bergman spaces
ISSN: 0022-247X, 1096-0813Published: Amsterdam Elsevier Inc 15.05.2010Published in Journal of mathematical analysis and applications (15.05.2010)“…We prove Carleson-type embedding theorems for weighted Bergman spaces with Békollé weights. We use this to study properties of Toeplitz-type operators, integration operators and composition operators acting on such spaces…”
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Recent progress on operator theory and approximation in spaces of analytic functions : Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, June 29-July 3, 2015, Institut Mittag-Leffler, Djursholm, Sweden
ISBN: 1470423057, 9781470423056Published: Providence, R.I American Mathematical Society 2016“…This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29-July 3, 2015, at the Institut Mittag-Leffler, Djursholm…”
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Uniform Approximation of Extremal Functions in Weighted Bergman Spaces
ISSN: 1617-9447, 2195-3724Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2018Published in Computational methods and function theory (01.09.2018)“…We discuss approximation of extremal functions by polynomials in the weighted Bergman spaces A α p where - 1 < α < min ( 0 , p - 2…”
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Bergman Kernels and Equilibrium Measures for Line Bundles over Projective Manifolds
ISSN: 0002-9327, 1080-6377, 1080-6377Published: Baltimore, MD Johns Hopkins University Press 01.10.2009Published in American journal of mathematics (01.10.2009)“…Let L be a holomorphic line bundle over a compact complex projective Hermitian manifold X…”
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