Academic literature on the topic 'Cesàro operators'

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Journal articles on the topic "Cesàro operators"

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Stempak, Krzysztof. "Cesàro averaging operators." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 124, no. 1 (1994): 121–26. http://dx.doi.org/10.1017/s030821050002922x.

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Bernardis, A. L., R. Crescimbeni, and F. J. Martín-Reyes. "Multilinear Cesàro maximal operators." Journal of Mathematical Analysis and Applications 397, no. 1 (January 2013): 191–204. http://dx.doi.org/10.1016/j.jmaa.2012.07.037.

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Galaz Fontes, Fernando, and Francisco Javier Solís. "Iterating the Cesàro operators." Proceedings of the American Mathematical Society 136, no. 06 (February 14, 2008): 2147–53. http://dx.doi.org/10.1090/s0002-9939-08-09197-1.

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León-Saavedra, F., A. Piqueras-Lerena, and J. B. Seoane-Sepúlveda. "Orbits of Cesàro type operators." Mathematische Nachrichten 282, no. 5 (April 16, 2009): 764–73. http://dx.doi.org/10.1002/mana.200610769.

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Lacruz, Miguel, Fernando León-Saavedra, Srdjan Petrovic, and Omid Zabeti. "Extended eigenvalues for Cesàro operators." Journal of Mathematical Analysis and Applications 429, no. 2 (September 2015): 623–57. http://dx.doi.org/10.1016/j.jmaa.2015.04.028.

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Costakis, George, and Demetris Hadjiloucas. "Somewhere dense Cesàro orbits and rotations of Cesàro hypercyclic operators." Studia Mathematica 175, no. 3 (2006): 249–69. http://dx.doi.org/10.4064/sm175-3-4.

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Al Alam, Ihab, Loïc Gaillard, Georges Habib, Pascal Lefèvre, and Fares Maalouf. "Essential norm of Cesàro operators on L and Cesàro spaces." Journal of Mathematical Analysis and Applications 467, no. 2 (November 2018): 1038–65. http://dx.doi.org/10.1016/j.jmaa.2018.07.038.

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Raj, Kuldip, Suruchi Pandoh, and Seema Jamwal. "Composition Operators on Cesàro Function Spaces." Journal of Function Spaces 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/501057.

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The compact, invertible, Fredholm, and closed range composition operators are characterized. We also make an effort to compute the essential norm of composition operators on the Cesàro function spaces.
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Andersen, Kenneth F. "Cesàro averaging operators on Hardy spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 3 (1996): 617–24. http://dx.doi.org/10.1017/s0308210500022939.

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It is shown that the Cesàro averaging operatorℜα > – 1, satisfies an inequality which immediately implies that it is bounded on certain Hardy spaces including Hp, 0 < p < ∞. This answers an open question of Stempak, who introduced these operators and obtained their boundedness on Hp, 0 < p ≦ 2, for ℜα ≧ 0. The operator which is conjugate to on H2 is also shown to be bounded on Hp for 1 < p < ∞ and ℜα = – 1. This extends a result of Stempak who obtained this boundedness for 2 ≦ p≦ ∞ and ℜα ≧:0.
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Sangal, Priyanka, and A. Swaminathan. "Geometric Properties of Cesàro Averaging Operators." Journal of Complex Analysis 2017 (November 28, 2017): 1–9. http://dx.doi.org/10.1155/2017/6584584.

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Using positivity of trigonometric cosine and sine sums whose coefficients are generalization of Vietoris numbers, we find the conditions on coefficient {ak} to characterize the geometric properties of the corresponding analytic function f(z)=z+∑k=2∞akzk in the unit disc D. As an application, we also find geometric properties of generalized Cesàro-type polynomials.
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Dissertations / Theses on the topic "Cesàro operators"

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Gaillard, Loïc. "Espaces de Müntz, plongements de Carleson, et opérateurs de Cesàro." Thesis, Artois, 2017. http://www.theses.fr/2017ARTO0406/document.

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Pour une suite ⋀ = (λn) satisfaisant la condition de Müntz Σn 1/λn < +∞ et pour p ∈ [1,+∞), on définit l'espace de Müntz Mp⋀ comme le sous-espace fermé de Lp([0, 1]) engendré par les monômes yn : t ↦ tλn. L'espace M∞⋀ est défini de la même façon comme un sous-espace de C([0, 1]). Lorsque la suite (λn + 1/p)n est lacunaire avec un grand indice, nous montrons que la famille (gn) des monômes normalisés dans Lp est (1 + ε)-isométrique à la base canonique de lp. Dans le cas p = +∞, les monômes (yn) forment une famille normalisée et (1 + ε)-isométrique à la base sommante de c. Ces résultats sont un raffinement asymptotique d'un théorème bien connu pour les suites lacunaires. D'autre part, pour p ∈ [1, +∞), nous étudions les mesures de Carleson des espaces de Müntz, c'est-à-dire les mesures boréliennes μ sur [0,1) telles que l'opérateur de plongement Jμ,p : Mp⋀ ⊂ Lp(μ) est borné. Lorsque ⋀ est lacunaire, nous prouvons que si les (gn) sont uniformément bornés dans Lp(μ), alors μ est une mesure de Carleson de Mq⋀ pour tout q > p. Certaines conditionsgéométriques sur μ au voisinage du point 1 sont suffsantes pour garantir la compacité de Jμ,p ou son appartenance à d'autres idéaux d'opérateurs plus fins. Plus précisément, nous estimons les nombres d'approximation de Jμ,p dans le cas lacunaire et nous obtenons même des équivalents pour certaines suites ⋀. Enfin, nous calculons la norme essentielle del'opérateur de moyenne de Cesàro Γp : Lp → Lp : elle est égale à sa norme, c'est-à-dire à p'. Ce résultat est aussi valide pour l'opérateur de Cesàro discret. Nous introduisons les sous-espaces de Müntz des espaces de Cesàro Cesp pour p ∈ [1, +∞]. Nous montrons que la norme essentielle de l'opérateur de multiplication par Ψ est égale à ∥Ψ∥∞ dans l'espace deCesàro, et à |Ψ(1)| dans les espaces de Müntz-Cesàro
For a sequence ⋀ = (λn) satisfying the Müntz condition Σn 1/λn < +∞ and for p ∈ [1,+∞), we define the Müntz space Mp⋀ as the closed subspace of Lp([0, 1]) spanned by the monomials yn : t ↦ tλn. The space M∞⋀ is defined in the same way as a subspace of C([0, 1]). When the sequence (λn + 1/p)n is lacunary with a large ratio, we prove that the sequence of normalized Müntz monomials (gn) in Lp is (1 + ε)-isometric to the canonical basis of lp. In the case p = +∞, the monomials (yn) form a sequence which is (1 + ε)-isometric to the summing basis of c. These results are asymptotic refinements of a well known theorem for the lacunary sequences. On the other hand, for p ∈ [1, +∞), we investigate the Carleson measures for Müntz spaces, which are defined as the Borel measures μ on [0; 1) such that the embedding operator Jμ,p : Mp⋀ ⊂ Lp(μ) is bounded. When ⋀ is lacunary, we prove that if the (gn) are uniformly bounded in Lp(μ), then for any q > p, the measure μ is a Carleson measure for Mq⋀. These questions are closely related to the behaviour of μ in the neighborhood of 1. Wealso find some geometric conditions about the behaviour of μ near the point 1 that ensure the compactness of Jμ,p, or its membership to some thiner operator ideals. More precisely, we estimate the approximation numbers of Jμ,p in the lacunary case and we even obtain some equivalents for particular lacunary sequences ⋀. At last, we show that the essentialnorm of the Cesàro-mean operator Γp : Lp → Lp coincides with its norm, which is p'. This result is also valid for the Cesàro sequence operator. We introduce some Müntz subspaces of the Cesàro function spaces Cesp, for p ∈ [1, +∞]. We show that the value of the essential norm of the multiplication operator TΨ is ∥Ψ∥∞ in the Cesàaro spaces. In the Müntz-Cesàrospaces, the essential norm of TΨ is equal to |Ψ(1)|
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Boggarapu, Pradeep. "Mixed Norm Estimates in Dunkl Setting and Chaotic Behaviour of Heat Semigroups." Thesis, 2014. http://etd.iisc.ernet.in/handle/2005/2958.

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This thesis is divided into three parts. In the first part we study mixed norm estimates for Riesz transforms associated with various differential operators. First we prove the mixed norm estimates for the Riesz transforms associated with Dunkl harmonic oscillator by means of vector valued inequalities for sequences of operators defined in terms of Laguerre function expansions. In certain cases, the result can be deduced from the corresponding result for Hermite Riesz transforms, for which we give a simple and an independent proof. The mixed norm estimates for Riesz transforms associated with other operators, namely the sub-Laplacian on Heisenberg group, special Hermite operator on C^d and Laplace-Beltrami operator on the group SU(2) are obtained using their L^pestimates and by making use of a lemma of Herz and Riviere along with an idea of Rubio de Francia. Applying these results to functions expanded in terms of spherical harmonics, we deduce certain vector valued inequalities for sequences of operators defined in terms of radial parts of the corresponding operators. In the second part, we study the chaotic behavior of the heat semigroup generated by the Dunkl-Laplacian ∆_κ on weighted L^P-spaces. In the general case, for the chaotic behavior of the Dunkl-heat semigroup on weighted L^p-spaces, we only have partial results, but in the case of the heat semigroup generated by the standard Laplacian, a complete picture of the chaotic behavior is obtained on the spaces L^p ( R^d,〖 (φ_iρ (x ))〗^2 dx) where φ_iρ the Euclidean spherical function is. The behavior is very similar to the case of the Laplace-Beltrami operator on non-compact Riemannian symmetric spaces studied by Pramanik and Sarkar. In the last part, we study mixed norm estimates for the Cesáro means associated with Dunkl-Hermite expansions on〖 R〗^d. These expansions arise when one considers the Dunkl-Hermite operator (or Dunkl harmonic oscillator)〖 H〗_κ:=-Δ_κ+|x|^2. It is shown that the desired mixed norm estimates are equivalent to vector-valued inequalities for a sequence of Cesáro means for Laguerre expansions with shifted parameter. In order to obtain the latter, we develop an argument to extend these operators for complex values of the parameters involved and apply a version of Three Lines Lemma.
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Books on the topic "Cesàro operators"

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Convegno nazionale Due storici e operatori culturali del 1700: il pievese Cesare Orlandi e il bovese Domenico Alagna (2006 Città della Pieve, Italy; Perugia, Italy; Reggio di Calabria, Italy; Bova, Italy). Due storici e operatori culturali del 1700: Il pievese Cesare Orlandi e il bovese Domenico Alagna : atti del Convegno nazionale, Città della Pieve, Perugia, Reggio Calabria, Bova (19-23 giugno 2006). Soveria Mannelli: Rubbettino, 2010.

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Book chapters on the topic "Cesàro operators"

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Dai, Feng, and Yuan Xu. "Boundedness of Projection Operators and Cesàro Means." In Springer Monographs in Mathematics, 189–211. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6660-4_8.

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Dai, Feng, and Yuan Xu. "Projection Operators and Cesàro Means in L P Spaces." In Springer Monographs in Mathematics, 213–39. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6660-4_9.

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Janas, Jan, and Serguei Naboko. "Asymptotics of Generalized Eigenvectors for Unbounded Jacobi Matrices with Power-like Weights, Pauli Matrices Commutation Relations and Cesaro Averaging." In Differential Operators and Related Topics, 165–86. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8403-7_14.

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Conference papers on the topic "Cesàro operators"

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CHANG, DER-CHEN, ROBERT GILBERT, and GANG WANG. "A NOTE ON GENERALIZED CESÀRO OPERATORS." In Proceedings of the International Conference to Celebrate Robert P Gilbert's 70th Birthday. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704405_0015.

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NEUMANN, MICHAEL M. "SPECTRAL PROPERTIES OF CESÀRO-LIKE OPERATORS." In Proceedings of the Second International School. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708441_0007.

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Miller, V. G. "The Cesàro and related operators, a survey." In Perspectives in Operator Theory. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-14.

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ZHANGJIAN, HU,. "EXTENDED CESÀRO OPERATORS ON THE BLOCH SPACE IN THE UNIT BALL OF CN." In Proceedings of a Satellite Conference to the International Congress of Mathematicians in Beijing 2002. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702500_0014.

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Pérez-Ayúcar, Miguel, Michel Breitfellner, Manuel Castillo, and Donald R. Merritt. "The CESAR education initiative." In 15th International Conference on Space Operations. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-2340.

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Munukutla, Sastry S., Robert P. M. Craven, and Michael R. Coffey. "Performance Monitoring of Coal-Fired Units in Real-Time." In ASME 2009 Power Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/power2009-81113.

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Power plant performance monitoring can be accomplished in real-time using the data already available on the plant computer in the control room. Because of this, plant operators can be provided with quantitative real-time feedback on the impact of any operational change on plant efficiency and economics. With funding from several major U.S. Utilities and the Electric Power Research Institute (EPRI) the Center for Energy Systems Research (CESR) at Tennessee Technological University (TTU) has developed a Real-Time Performance Monitoring System for evaluating plant operations continuously. The calculations are based on the output/loss method. Coal analysis in real-time is obtained by using information on flue gas composition. This is a unique technology developed at CESR. The steady-state thermodynamic model includes on the fire-side the FD and ID fans, the air preheater, the coal pulverizers and the boiler. It includes flow rate, pressure and temperature of the feedwater, main steam, cold reheat steam and the hot reheat steam on the steam-side of the calculations. The model performs calculations and displays results every minute (or whatever averaging time is chosen) by reading relevant data from the plant computer. One of the primary advantages of this method is that it can be customized to a given unit with given instrumentation. The Real-Time Performance Model has been successfully installed in 10 coal fired units in the U.S.A., four 200 MW units in New Zealand, one 200 MW unit in India and one 900 MW unit in China. In this paper the output/loss method will be introduced. The thermodynamic model with which calculations are performed will be described in detail. Field results from several units around the world will be presented. Examples of strategies for performance enhancement based on real-time performance monitoring will be discussed.
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Wheeler, Wayne A., Roberta Ewart, and Joseph Betser. "Cyber Enhanced Space Operations (CESO)- From Frameworks to Enterprise Evolution." In AIAA SPACE 2016. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-5474.

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Carpiceci, Marco, and Fabio Colonnese. "Le mura di Leonardo. I rilievi del 1502." In FORTMED2020 - Defensive Architecture of the Mediterranean. Valencia: Universitat Politàcnica de València, 2020. http://dx.doi.org/10.4995/fortmed2020.2020.11363.

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Leonardo’s Walls. Surveys in 1502In the summer of 1502, Cesare Borgia appointed Leonardo da Vinci for his engineering expertise. His assignment was specific and concerning with military architecture: he was expected to “see, measure and do good estimation”. The Codex L, a small notebook conserved in the Library of the Institute of France, show the results of the survey of the city walls of Cesena and Urbino. The technique Leonardo adopted consists in traversing rectilinear stretches, measuring their length by means of an instrument able to count his steps and establishing their orientation by means of a compass. At the end of the path, the data relative to the sides of a closed polygon are obtained, resulting the geometric plan of the walls. This practice is testified by some residual eidotypes provided with quotas and orientations. In some cases, only the lists of distances in numbers are present, but the analysis of the figures makes it possible to reconstruct the surveyed plans, as Nando De Toni pioneered many years ago. This study focuses on the tools and the urban survey technique used by Leonardo. The analysis of some sheets from the Codex L, contextualized with respect to the actual topography of the sites, allows to understand the correct sequence of the operations carried out first in the site and then at the drawing board. By means of specific digital reconstructions, it is therefore possible to study the instrumental and operational limits of this practice and, by comparing it with the current state, to reconstruct the entire defensive structure.
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