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Relevant bibliographies by topics / Bergman operator

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Academic literature on the topic 'Bergman operator'

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Published: 9 March 2023

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Journal articles on the topic "Bergman operator"

1

Tong, Ce-Zhong, Cheng Yuan, and Ze-Hua Zhou. "Topological Structures of Derivative Weighted Composition Operators on the Bergman Space." Journal of Function Spaces 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/672385.

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We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative weighted composition operators on the Bergman space under the operator norm topology.

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Luo, Luo, and Yang Xuemei. "The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball inCn." Abstract and Applied Analysis 2010 (2010): 1–13. http://dx.doi.org/10.1155/2010/343578.

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In 1993, Peloso introduced a kind of operators on the Bergman spaceA2(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 spaceAp(B) (p>1)of the unit ball and give an equivalent form of the essential norm.

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Kim, Sumin, and Jongrak Lee. "Normal Toeplitz Operators on the Bergman Space." Mathematics 8, no. 9 (2020): 1463. http://dx.doi.org/10.3390/math8091463.

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In this paper, we give a characterization of normality of Toeplitz operator Tφ on the Bergman space A2(D). First, we state basic properties for Toeplitz operator Tφ on A2(D). Next, we consider the normal Toeplitz operator Tφ on A2(D) in terms of harmonic symbols φ. Finally, we characterize the normal Toeplitz operators Tφ with non-harmonic symbols acting on A2(D).

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Mirzakarimi, G., and K. Seddighi. "Weighted Composition Operators on Bergman and Dirichlet Spaces." gmj 4, no. 4 (1997): 373–83. http://dx.doi.org/10.1515/gmj.1997.373.

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Abstract Let 𝐻(Ω) denote a functional Hilbert space of analytic functions on a domain Ω. Let 𝑤 : Ω → 𝐂 and ϕ : Ω → Ω be such that 𝑤 𝑓 ○ ϕ is in 𝐻(Ω) for every 𝑓 in 𝐻(Ω). The operator 𝑤𝐶 ϕ Given by 𝑓 → 𝑤 𝑓 ○ ϕ is called a weighted composition operator on 𝐻(Ω). In this paper we characterize such operators and those for which (𝑤𝐶 ϕ )* is a composition operator. Compact weighted composition operators on some functional Hilbert spaces are also characterized. We give sufficient conditions for the compactness of such operators on weighted Dirichlet spaces.

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Domenig, Thomas, Hans Jarchow, and Reinhard Riedl. "The domain space of an analytic composition operator." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 66, no. 1 (1999): 56–65. http://dx.doi.org/10.1017/s1446788700036272.

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AbstractIn this paper we show that, for analytic composition operators between weighted Bergman spaces (including Hardy spaces) and as far as boundedness, compactness, order boundedness and certain summing properties of the adjoint are concerned, it is possible to modify domain spaces in a systematic fashion: there is a space of analytic functions which embeds continuously into each of the spaces under consideration and on which the above properties of the operator are decided.A remarkable consequence is that, in the setting of composition operators between weighted Bergman spaces, the propert

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Sadraoui, Houcine, Borhen Halouani, Mubariz T. Garayev, and Adel AlShehri. "Hyponormality on a Weighted Bergman Space." Journal of Function Spaces 2020 (August 5, 2020): 1–7. http://dx.doi.org/10.1155/2020/8398012.

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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. We find a necessary condition for hyponormality in the case of a symbol of the form f+g¯ where f and g are bounded analytic functions on the unit disk. We then find sufficient conditions when f is a monomial.

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Guo, Xin, and Maofa Wang. "Compact linear combinations of composition operators over the unit ball." Journal of Operator Theory 88, no. 1 (2022): 61–84. http://dx.doi.org/10.7900/jot.2020nov28.2310.

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In this paper, we study the compactness of any finite linear combination of composition operators with general symbols on weighted Bergman spaces over the unit ball in terms of a power type criterion. The strategy of the proof involves the subtle connection of composition operator theory between weighted Bergman spaces and Korenblum spaces.

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Nakazi, Takahiko, and Tomoko Osawa. "Finite-rank intermediate Hankel operators on the Bergman space." International Journal of Mathematics and Mathematical Sciences 25, no. 1 (2001): 19–31. http://dx.doi.org/10.1155/s0161171201001971.

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LetL2=L2(D,r dr dθ/π)be the Lebesgue space on the open unit disc and letLa2=L2∩ℋol(D)be the Bergman space. LetPbe the orthogonal projection ofL2ontoLa2and letQbe the orthogonal projection ontoL¯a,02={g∈L2;g¯∈La2, g(0)=0}. ThenI−P≥Q. The big Hankel operator and the small Hankel operator onLa2are defined as: forϕinL∞,Hϕbig(f)=(I−P)(ϕf)andHϕsmall(f)=Q(ϕf)(f∈La2). In this paper, the finite-rank intermediate Hankel operators betweenHϕbigandHϕsmallare studied. We are working on the more general space, that is, the weighted Bergman space.

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Siskakis, Aristomenis G. "Semigroups of composition operators in Bergman spaces." Bulletin of the Australian Mathematical Society 35, no. 3 (1987): 397–406. http://dx.doi.org/10.1017/s0004972700013381.

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Semigroups consisting of composition operators are considered on weighted Bergman spaces. They are strongly continuous, and their infinitesimal generators are identified. One specific semigroup is used to obtain information on an averaging operator.

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YANG, XIANG DONG, and LE HAI KHOI. "COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON BERGMAN SPACES IN THE BALL." Journal of the Australian Mathematical Society 89, no. 3 (2010): 407–18. http://dx.doi.org/10.1017/s1446788711001091.

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AbstractWe obtain necessary and sufficient conditions for the compactness of differences of composition operators acting on the weighted Bergman spaces in the unit ball. A representation of a composition operator as a finite sum of composition operators modulo compact operators is also studied.

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Dissertations / Theses on the topic "Bergman operator"

1

Arroussi, Hicham. "Function and Operator Theory on Large Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/395175.

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The theory of Bergman spaces has been a central subject of study in complex analysis during the past decades. The book [7] by S. Bergman contains the first systematic treat-ment of the Hilbert space of square integrable analytic functions with respect to Lebesgue area measure on a domain. His approach was based on a reproducing kernel that became known as the Bergman kernel function. When attention was later directed to the spaces AP over the unit disk, it was natural to call them Bergman spaces. As counterparts of Hardy spaces, they presented analogous problems. However, although many problem

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Fleeman, Matthew. "Putnam's Inequality and Analytic Content in the Bergman Space." Scholar Commons, 2016. http://scholarcommons.usf.edu/etd/6238.

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In this dissertation we are interested in studying two extremal problems in the Bergman space. The topics are divided into three chapters. In Chapter 2, we study Putnam’s inequality in the Bergman space setting. In [32], the authors showed that Putnam’s inequality for the norm of self-commutators can be improved by a factor of 1 for Toeplitz operators with analytic symbol φ acting on the Bergman space A2(Ω). This improved upper bound is sharp when φ(Ω) is a disk. We show that disks are the only domains for which the upper bound is attained. In Chapter 3, we consider the problem of finding the

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Liang, Xiaoming. "A class of weighted Bergman spaces, reducing subspaces for multiple weighted shifts, and dilatable operators." Diss., Virginia Tech, 1996. http://hdl.handle.net/10919/39164.

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This thesis consists of four chapters. Chapter 1 contains the preliminaries. We give the background, notation and some results needed for this work, and we describe our main results of this thesis. In Chapter 2 we will introduce a class of weighted Bergman spaces. We then will discuss some properties about the multiplication operator, Mz , on them. We also characterize the dual spaces of these weighted Bergman spaces. In Chapter 3 we will characterize the reducing subspaces of multiple weighted shifts. The reducing subspaces of the Bergman and the Dirichlet shift of multiplicity N are portra

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Barusseau, Benoit. "Propriétés spectrales des opérateurs de Toeplitz." Thesis, Bordeaux 1, 2010. http://www.theses.fr/2010BOR14027/document.

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La première partie de la thèse réunit des résultats classiques sur l’espace de Hardy, les espaces modèles et l’espace de Bergman. Puis sur cette base, nous exposons des travaux relatifs aux opérateurs de Toeplitz, en particulier, nous présentons la description du spectre et du spectre essentiel de ces opérateurs sur l’espace de Hardy et de Bergman. La première partie de notre recherche tire son inspiration de deux faits établis pour un opérateur de Toeplitz T. Premièrement, sur l’espace de Hardy, la norme de T, la norme essentielle de T et la norme infinie du symbole de T sont égales. Nous étu

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Jones, Matthew Michael. "Composition operators on weighted Bergman spaces." Thesis, University College London (University of London), 1999. http://discovery.ucl.ac.uk/1363351/.

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In the late 1960’s, E.A. Nordgren and J.V. Ryff studied composition operators on the Hardy space H2. They provided upper and lower bounds on the norms of general composition operators and gave the exact norm in the case where the symbol map is an inner function. Composition operators themselves, on various other spaces, have been studied by many authors since and much deep work has been done concerning them. Recently, however B.D. MacCluer and T. Kriete have developed the study of composition operators on very general weighted Bergman spaces of the unit disk in the complex plane. My starting p

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Oliver, Vendrell Roc. "Hankel operators on vector-valued Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2017. http://hdl.handle.net/10803/471520.

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The main goal of this work is to study vector-valued Bergman spaces and to obtain the weak factorization of these spaces. In order to do that we need to study small Hankel operators with operator-valued holomorphic symbols. We also study the big Hankel operator acting on vector-valued Bergman spaces. In Chapter 1 we collect all the previous results and notations needed to follow the rest of the manuscript. More concretely, some of the topics covered in this chapter are the Bochner integral, the integral for vector-valued functions appearing first in Bochner; the Bergman metric, results of t

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Charpentier, Stéphane. "Opérateurs de composition sur les espaces de fonctions holomorphes de plusieurs variables complexes : universalité dans les espaces de Banach et de Fréchet." Thesis, Bordeaux 1, 2010. http://www.theses.fr/2010BOR14104/document.

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Dans la première partie de ma thèse, il est démontré, dans les espaces de Banach et de Fréchet de suites, un résultat d'existence d'un sous-espace fermé de dimension infinie dont les éléments non-nuls sont des séries universelles.La deuxième partie est consacrée à l'étude des opérateurs de composition sur des espaces de fonctions holomorphes de plusieurs variables complexes. Dans un premier temps, le spectre et la dynamique des opérateurs de composition hyperboliques sur les espaces de Hardy de la boule sont décrits complètement.Dans un second temps, la continuité et la compacité des opérateur

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Yousef, Abdelrahman F. "Two problems in the theory of Toeplitz operators on the Bergman space /." Connect to full text in OhioLINK ETD Center, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1242219617.

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Ivarsson, Björn. "Regularity and boundary behavior of solutions to complex Monge–Ampère equations." Doctoral thesis, Uppsala University, Department of Mathematics, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-1603.

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<p>In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. Here the complex Monge--Ampère operator has a role similar to that of the Laplace operator in the theory of subharmonic functions. The complex Monge--Ampère operator is nonlinear and therefore it is not as well understood as the Laplace operator. We consider two types of boundary value problems f

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Yousef, Abdelrahman Fawzi. "Two Problems in the Theory of Toeplitz Operators on the Bergman Space." University of Toledo / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1242219617.

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Books on the topic "Bergman operator"

1

The bilateral Bergman shift. American Mathematical Society, 1986.

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Commutative algebras of Toeplitz operators on the Bergman space. Birkhäuser, 2008.

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6.

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4

Peláez, José Ángel. Weighted Bergman spaces induced by rapidly increasing weights. American Mathematical Society, 2014.

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5

Europe, Council of, and Deutsches Bergbau-Museum Bochum, eds. Mining engineering monuments as a cultural heritage: A Council of Europe Colloquy organised in co-operation with the Deutsches Bergbau-Museum, Bochum (Federal Republic of Germany), 5-8 September 1988. Council of Europe, 1989.

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer London, Limited, 2015.

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer, 2015.

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Commutative Algebras of Toeplitz Operators on the Bergman Space. Birkhäuser Basel, 2008. http://dx.doi.org/10.1007/978-3-7643-8726-6.

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Organization for Economic Cooperation and Development. OECD Territorial Reviews: Bergamo, Italy. Rowman & Littlefield Publishers, Incorporated, 2016.

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Davis, P. Bergman's Linear Integral Operator Method in the Theory of Compressible Fluid Flow. Davis P, 2013.

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Book chapters on the topic "Bergman operator"

1

Kosiński, Łukasz, and Włodzimierz Zwonek. "Bergman Kernel in Complex Analysis." In Operator Theory. Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0667-1_68.

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Kosiński, Łukasz, and Włodzimierz Zwonek. "Bergman Kernel in Complex Analysis." In Operator Theory. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0692-3_68-1.

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Ahmed, A. El-Sayed, and M. A. Bahkit. "Holomorphic $$ \mathcal{N}_K $$ and Bergman-type Spaces." In Operator Algebras, Operator Theory and Applications. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0174-0_5.

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4

Aghekyan, Smbat A., and Alexey N. Karapetyants. "Weighted Hadamard–Bergman Convolution Operators." In Operator Theory and Harmonic Analysis. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77493-6_1.

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Kumar, Romesh, and Jonathan R. Partington. "Weighted Composition Operators on Hardy and Bergman Spaces." In Recent Advances in Operator Theory, Operator Algebras, and their Applications. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/3-7643-7314-8_9.

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Ball, Joseph A., and Vladimir Bolotnikov. "Interpolation in Sub-Bergman Spaces." In Advances in Structured Operator Theory and Related Areas. Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0639-8_6.

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Rozenblum, Grigori, and Nikolai Vasilevski. "Toeplitz Operators with Singular Symbols in Polyanalytic Bergman Spaces on the Half-Plane." In Operator Algebras, Toeplitz Operators and Related Topics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_23.

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Hammond, Christopher, and Linda J. Patton. "Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces." In Topics in Operator Theory. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0158-0_13.

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Zhao, Xianfeng, and Dechao Zheng. "Toeplitz Operators on the Bergman Space and the Berezin Transform." In Handbook of Analytic Operator Theory. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9781351045551-10.

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Ramírez-Mora, María del Rosario, Josué Ramírez-Ortega, and Miguel Antonio Morales-Ramos. "Algebra Generated by a Finite Number of Toeplitz Operators with Homogeneous Symbols Acting on the Poly-Bergman Spaces." In Operator Algebras, Toeplitz Operators and Related Topics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_22.

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Conference papers on the topic "Bergman operator"

1

Qin, Chun, Jianguo Liu, and Xiaoyang Hou. "Two-sided norm estimates for an integral operator related to the Bergman projection." In 2021 International Conference on Electronic Information Technology and Smart Agriculture (ICEITSA). IEEE, 2021. http://dx.doi.org/10.1109/iceitsa54226.2021.00059.

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de Fabritiis, Chiara. "Linear Operators on Generalized Bergman Spaces." In GLOBAL ANALYSIS AND APPLIED MATHEMATICS: International Workshop on Global Analysis. AIP, 2004. http://dx.doi.org/10.1063/1.1814725.

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REHBERG, BETTINA. "HANKEL OPERATORS ON GENERALIZED BERGMAN-HARDY SPACES." In Proceedings of the Tenth General Meeting. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704276_0021.

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Chadwick, Chris. "Cost and Waste Volume Reduction in HEPA Filter Trains by Effective Pre-Filtration." In The 11th International Conference on Environmental Remediation and Radioactive Waste Management. ASMEDC, 2007. http://dx.doi.org/10.1115/icem2007-7003.

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Data published elsewhere (Moore, et al., 1992; Bergman et al., 1997) suggests that the then costs of disposable type Glass Fibre HEPA filtration trains to the DOE was $55million per year (based on an average usage of HEPA panels of 11,748 pieces per year between 1987 and 1990), $50million of which was attributable to installation, testing, removal and disposal. The same authors suggest that by 1995 the number of HEPA panels being used had dropped to an estimated 4000 pieces per year due to the ending of the Cold War. The yearly cost to the DOE of 4000 units per year was estimated to be $29.5 m

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Vasilevski, Nikolai, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Two-dimensional Singular Integral Operators via Poly-Bergman Spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637754.

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Абанин, Александр. "Path components of the set of (weighted) composition operators on Bergman spaces." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh1t-2021-10-06.34.

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KARLOVICH, YD I., and L. V. PESSOA. "C*-ALGEBRAS OF BERGMAN TYPE OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS ON BOUNDED DOMAINS." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0031.

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LI, SONG-YING. "ON THE CRITERIA FOR SCHATTEN VON NEUMANN CLASS COMPOSITION OPERATORS ON HARDY AND BERGMAN SPACES IN DOMAINS IN ℂN". У Proceedings of a Satellite Conference to the International Congress of Mathematicians in Beijing 2002. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702500_0015.

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Hareezi, Adam, Abdul Aziz, Orient Balbir Samuel, et al. "First Deployment of Single-Trip Stand-Alone-Screen (SAS) Completions for an Operator in Malaysia Saves Rig Time." In SPE Bergen One Day Seminar. Society of Petroleum Engineers, 2015. http://dx.doi.org/10.2118/173844-ms.

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Basbar, Ashraf E. A., Ahmed Al Kharusi, and Abdulbaqi Al Kindi. "Reducing NPT of Rigs Operation through Competency Improvement: A Lean Manufacturing Approach." In SPE Bergen One Day Seminar. Society of Petroleum Engineers, 2016. http://dx.doi.org/10.2118/180066-ms.

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