Relevant bibliographies by topics / Atomic Hardy space

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  2. Dissertations / Theses
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Academic literature on the topic 'Atomic Hardy space'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Atomic Hardy space"

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Chen, Xinyu, and Jian Tan. "The atomic characterization of weighted local Hardy spaces and its applications." Filomat 38, no. 17 (2024): 5925–49. https://doi.org/10.2298/fil2417925c.

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The purpose of this paper is to obtain atomic decomposition characterization of the weighted local Hardy space hp ?(Rn) with ? ? A?. We apply the discrete version of Calder?n?s identity and the weighted Littlewood?Paley?Stein theory to prove that hp ?(Rn) coincides with the weighted-(p, q, s) atomic local Hardy space hp,q,s,?,atom(Rn) for 0 < p < ?. The atomic decomposition theorems in our paper improve the previous atomic decomposition results of local weighted Hardy spaces in the literature. As applications, we derive the boundedness of inhomogeneous Calder?n?Zygmund singular integrals
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Chai, Yan, Yaoyao Han, and Kai Zhao. "Herz-Type Hardy Spaces Associated with Operators." Journal of Function Spaces 2018 (July 17, 2018): 1–10. http://dx.doi.org/10.1155/2018/1296837.

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Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L. As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.
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Folch-Gabayet, Magali, Martha Guzmán-Partida, and Salvador Pérez-Esteva. "Lipschitz measures and vector-valued Hardy spaces." International Journal of Mathematics and Mathematical Sciences 25, no. 5 (2001): 345–56. http://dx.doi.org/10.1155/s0161171201004549.

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We define certain spaces of Banach-valued measures called Lipschitz measures. When the Banach space is a dual spaceX*, these spaces can be identified with the duals of the atomic vector-valued Hardy spacesHXp(ℝn),0<p<1. We also prove that all these measures have Lipschitz densities. This implies that for every real Banach spaceXand0<p<1, the dualHXp(ℝn)∗can be identified with a space of Lipschitz functions with values inX*.
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Long, Long, Niyonkuru Silas, and Guangheng Xie. "Weak martingale Hardy-type spaces associated with quasi-Banach function lattice." Forum Mathematicum 34, no. 2 (2022): 407–23. http://dx.doi.org/10.1515/forum-2021-0270.

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Abstract In this paper, the authors introduce weak martingale Hardy-type spaces associated with a quasi-Banach function lattice. The authors then establish the atomic characterizations of these weak martingale Hardy-type spaces. As applications, the authors give the sufficient conditions for the boundedness of σ-sublinear operators from weak martingale Hardy-type spaces to a quasi-Banach function lattice. Furthermore, the authors clarify the relation among different weak martingale Hardy-type spaces in the framework of a rearrangement-invariant quasi-Banach function space. Finally, the authors
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KEMPPAINEN, MIKKO. "ON VECTOR-VALUED TENT SPACES AND HARDY SPACES ASSOCIATED WITH NON-NEGATIVE SELF-ADJOINT OPERATORS." Glasgow Mathematical Journal 58, no. 3 (2015): 689–716. http://dx.doi.org/10.1017/s0017089515000415.

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AbstractIn this paper, we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpoint p=1. The holomorphic functional calculus of L is also shown to be bounded on the associated Hardy space H1L(X). These results, along with the atomic decomposition for the aforementioned space, rely on boundedness of certain integral operators on the tent space T1(X).
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WANG, HUA. "BOUNDEDNESS OF SEVERAL INTEGRAL OPERATORS WITH BOUNDED VARIABLE KERNELS ON HARDY AND WEAK HARDY SPACES." International Journal of Mathematics 24, no. 12 (2013): 1350095. http://dx.doi.org/10.1142/s0129167x1350095x.

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In this paper, by using the atomic decomposition theory of Hardy space H1(ℝn) and weak Hardy space WH1(ℝn), we give the boundedness properties of some operators with variable kernels such as singular integral operators, fractional integrals and parametric Marcinkiewicz integrals on these spaces, under certain logarithmic type Lipschitz conditions assumed on the variable kernel Ω(x, z).
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HYTÖNEN, TUOMAS, DACHUN YANG, and DONGYONG YANG. "The Hardy space H1 on non-homogeneous metric spaces." Mathematical Proceedings of the Cambridge Philosophical Society 153, no. 1 (2011): 9–31. http://dx.doi.org/10.1017/s0305004111000776.

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AbstractLet (, d, μ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H1(μ) and prove that its dual space is the known space RBMO(μ) in this context. Using this duality, we establish a criterion for the boundedness of linear operators from H1(μ) to any Banach space. As an application of this criterion, we obtain the boundedness of Calderón–Zygmund operators from H1(μ) to L1(μ).
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Zhang, Yangyang, Dachun Yang, Wen Yuan, and Songbai Wang. "Real-variable characterizations of Orlicz-slice Hardy spaces." Analysis and Applications 17, no. 04 (2019): 597–664. http://dx.doi.org/10.1142/s0219530518500318.

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In this paper, the authors first introduce a class of Orlicz-slice spaces which generalize the slice spaces recently studied by Auscher et al. Based on these Orlicz-slice spaces, the authors then introduce a new kind of Hardy-type spaces, the Orlicz-slice Hardy spaces, via the radial maximal functions. This new scale of Orlicz-slice Hardy spaces contains the variant of the Orlicz–Hardy space of Bonami and Feuto as well as the Hardy-amalgam space of de Paul Ablé and Feuto as special cases. Their characterizations via the atom, the molecule, various maximal functions, the Poisson integral and th
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Berndt, Ryan. "Atomic Hardy space theory for unbounded singular integrals." Indiana University Mathematics Journal 55, no. 4 (2006): 1461–82. http://dx.doi.org/10.1512/iumj.2006.55.2649.

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Lou, Zengjian, and Shouzhi Yang. "AN ATOMIC DECOMPOSITION FOR THE HARDY-SOBOLEV SPACE." Taiwanese Journal of Mathematics 11, no. 4 (2007): 1167–76. http://dx.doi.org/10.11650/twjm/1500404810.

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Dissertations / Theses on the topic "Atomic Hardy space"

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SALOGNI, FRANCESCA. "Harmonic Bergman spaces, Hardy-type spaces and harmonic analysis of a symmetric diffusion semigroup on R^n." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/41814.

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This thesis is divided into two parts, which deal with quite diverse subjects. The first part is, in turn, divided into two chapters. The first focuses on the development of new function spaces in $R^n$, called generalized Bergman spaces, and on their application to the Hardy space $H^1(R^n)$. The second is devoted to the theory of Bergman spaces on noncompact Riemannian manifolds which possess the doubling property and to its relationships with spaces of Hardy type. The latter are tailored to produce endpoint estimates for interesting operators, mainly related to the Laplace-Beltrami op
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Souza, Osmar do Nascimento. "Espaços de Hardy e compacidade compensada." Universidade Federal de São Carlos, 2014. https://repositorio.ufscar.br/handle/ufscar/5906.

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Made available in DSpace on 2016-06-02T20:28:30Z (GMT). No. of bitstreams: 1 6065.pdf: 865751 bytes, checksum: 22466d8659637f2282b6be8b0adb5a33 (MD5) Previous issue date: 2014-03-13<br>Financiadora de Estudos e Projetos<br>This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is a space of distributions when 0 < p < 1. When 0 < p ^ 1, the Hardy spaces offers a better treatment involving harmonic analysis than the Lp spaces. Among
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Yin, Zhi. "Espaces de Hardy en probabilités et analyse harmonique quantiques." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00838496.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique à valeurs operateurs. La thèse est composée des trois parties.Dans la première partie, on démontre la décomposition atomique des espaces de Hardy de martingales non commutatives. On identifie aussi les interpolés complexes et réels entre les versions conditionnelles des espaces de Hardy et BMO de martingales non commutatives.La seconde partie est consacrée à l'étude des espaces de Hardy à valeurs opérateursvia la méthode d'ondellettes. Cette approche est similaire à celle du cas des mar
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Xia, Runlian. "Les espaces de Hardy locaux à valeurs opératorielle et les applications sur les opérateurs pseudo-différentiels." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD084/document.

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Le but de cette thèse est d’étudier l’analyse sur les espaces hpc(Rd,M), la version locale des espaces de Hardy à valeurs opératorielles construits par Tao Mei. Les espaces de Hardy locaux à valeurs opératorielles sont définis par les g-fonctions de Littlewood-Paley tronquées et les fonctions intégrables de Lusin tronquées associées au noyau de Poisson. Nous développons la théorie de Calderón-Zygmund sur hpc(Rd,M); nous étudions la dualité hpcbmocq et l’interpolation. D’après ces résultats, nous obtenons la caractérisation générale de hpc(Rd,M) en remplaçant le noyau de Poisson par des fonctio
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Hong, Guixiang. "Quelques problèmes en analyse harmonique non commutative." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00979472.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique non commutative. Elle est constituée de trois parties. La première partie démontre l'analogue non commutatif de l'inégalité de John-Nirenberg et la décomposition atomique pour les martingales non commutatives. Ces résultats étendent et améliorent ceux qui existent déjà, et correspondent exactement à ceux que l'on connaît dans le cas classique. La deuxième partie est consacrée à l'étude des espaces de Hardy à valeurs opérateurs via la méthode d'ondelettes. Il est montré que les espaces d
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Yang, Tsiung-Huang, and 楊相宏. "The atomic decomposition of Hardy space associated with different homogeneities." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/33937891080099087307.

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碩士<br>國立中央大學<br>數學研究所<br>100<br>This is Professor Han Yongsheng, defined in the paper [HLLRS with anisotropic Hardy spaces in this article, we will use the discrete expressions to get a new Hardy spaces atomic decomposition.
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Books on the topic "Atomic Hardy space"

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Sandler, Corey. Official Sega Genesis and Game Gear strategies, 3RD Edition. Bantam Books, 1992.

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Sega Genesis Secrets, Volume 4. Prima Publishing, 1993.

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Eddy, Andrew, and Donn Nauert. Sega Genesis Secrets, Volume 4 (Prima's Secrets of the Games). Prima Games, 1993.

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Official Sega Genesis and Game Gear Strategies, '94 Edition. Random House, Electronic Publishing, 1993.

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Book chapters on the topic "Atomic Hardy space"

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Yang, Dachun, Dongyong Yang, and Guoen Hu. "The Local Atomic Hardy Space h 1(μ)." In The Hardy Space H1 with Non-doubling Measures and Their Applications. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00825-7_4.

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Alvarado, Ryan, and Marius Mitrea. "Atomic Theory of Hardy Spaces." In Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18132-5_5.

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Kawazoe, Takeshi. "Atomic Hardy spaces on semisimple Lie groups." In Non-Commutative Harmonic Analysis and Lie Groups. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0073023.

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Forsman, Klas. "Atomic decompositions in Hardy spaces on bounded lipschitz domains." In Function Spaces and Applications. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078876.

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Bansah, Justice Sam, and Benoît F. Sehba. "Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality." In Operator Theory and Harmonic Analysis. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77493-6_5.

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Vallarino, Maria. "Atomic and Maximal Hardy Spaces on a Lie Group of Exponential Growth." In Trends in Harmonic Analysis. Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2853-1_16.

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LOU, ZENGJIAN. "AN ATOMIC DECOMPOSITION FOR THE HARDY SPACE WITH CURL-FREE." In Wavelet Analysis and Active Media Technology. World Scientific Publishing Company, 2005. http://dx.doi.org/10.1142/9789812701695_0149.

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Sawano, Yoshihiro, and Kazuki Kobayashi. "A remark on the atomic decomposition in Hardy spaces based on the convexification of ball Banach spaces." In Potentials and Partial Differential Equations. De Gruyter, 2023. http://dx.doi.org/10.1515/9783110792720-007.

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Scerri, Eric. "Element 43—Technetium." In A Tale of Seven Elements. Oxford University Press, 2013. http://dx.doi.org/10.1093/oso/9780195391312.003.0011.

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Element 43 (fig. 6.1) holds a special distinction among the seven elements of this book. It was one of just four elements that Mendeleev first predicted in his famous table and article of 1871. This fact is not so well known, as most accounts mention just the three famous predictions, namely empty spaces to which Mendeleev gave atomic weights of 44, 68, and 72. These three elements were all discovered within a period of fifteen years and named scandium, gallium, and germanium, respectively. But in the same early table, Mendeleev assigned an atomic weight to just one more empty space, which he
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Fox, Michael H. "Nuclear Waste." In Why We Need Nuclear Power. Oxford University Press, 2014. http://dx.doi.org/10.1093/oso/9780199344574.003.0016.

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I gazed over the railing into the crystal clear cooling pool glowing with blue Cherenkov light caused by particulate radiation traveling faster than the speed of light in water. I can see a matrix of square objects through the water, filling more than half of the pool. It looks like you could take a quick dip into the water, like an indoor swimming pool, but that would not be a good idea! It is amazing to think that this pool, about the size of a ranch house, is holding all of the spent fuel from powering the Wolf Creek nuclear reactor in Burlington, Kansas, for 27 years. The reactor was just
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Conference papers on the topic "Atomic Hardy space"

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Ito, Kenchi, Masahiko Hada, and Kazumi Kawamoto. "Refractive-index change of LiNbO3 by H+–Li+ exchange." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.fjj6.

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The H+–Li+ exchange technique in LiNbO3 is useful for the preparation of optical waveguides because it creates a large increase in the extraordinary refractive index. We have considered the reason for this increase both experimentally and theoretically. The exchange rate x of H+ and Li+ is about 0.7, as measured by nuclear-reaction analysis with a high-energy 15N ion beam. Electron diffraction shows that the space group does not change, and x-ray diffraction shows that the lattice constant hardly changes. Measurements of the infrared-absorption spectrum suggest that H+ is located in the plane
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Stoeva, P., A. Stoev, and D. Teneva. "RADIATION CONDITIONS IN NEAR-EARTH SPACE DURING THE MAXIMUM OF SOLAR ACTIVITY." In РАДИАЦИОННАТА БЕЗОПАСНОСТ В СЪВРЕМЕННИЯ СВЯТ. Crossref, 2025. https://doi.org/10.34660/inf.2025.78.57.040.

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The report presents results of the assessment of radiation conditions for high- orbit spacecraft located in a circular orbit with an altitude of over 20 thousand km and an orbital inclination of about 60 - 70º. The assessment of the radiation environment was carried out for the period of maximum solar activity. The dependence of radiation conditions in orbit on the dynamics of solar activity is discussed. It is noted that high-orbit spacecraft are located mainly in the outer radiation zone, where there are high intensities of relativistic electron fluxes. In this regard, it is assumed that the
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Ting, Seng Nguon, Hsien-Ching Lo, Donald Nedeau, Aaron Sinnott, and Felix Beaudoin. "Sub-20nm Device Voltage-Sensitive SRAM Characterization and Failure Analysis." In ISTFA 2018. ASM International, 2018. http://dx.doi.org/10.31399/asm.cp.istfa2018p0300.

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Abstract With rapid scaling of semiconductor devices, new and more complicated challenges emerge as technology development progresses. In SRAM yield learning vehicles, it is becoming increasingly difficult to differentiate the voltage-sensitive SRAM yield loss from the expected hard bit-cells failures. It can only be accomplished by extensively leveraging yield, layout analysis and fault localization in sub-micron devices. In this paper, we describe the successful debugging of the yield gap observed between the High Density and the High Performance bit-cells. The SRAM yield loss is observed to
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Bienvenu, Meghyn, Quentin Manière, and Michaël Thomazo. "Cardinality Queries over DL-Lite Ontologies." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/248.

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Ontology-mediated query answering (OMQA) employs structured knowledge and automated reasoning in order to facilitate access to incomplete and possibly heterogeneous data. While most research on OMQA adopts (unions of) conjunctive queries as the query language, there has been recent interest in handling queries that involve counting. In this paper, we advance this line of research by investigating cardinality queries (which correspond to Boolean atomic counting queries) coupled with DL-Lite ontologies. Despite its apparent simplicity, we show that such an OMQA setting gives rise to rich and com
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Sreedurga, Gogulapati, Mayank Ratan Bhardwaj, and Yadati Narahari. "Maxmin Participatory Budgeting." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/70.

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Participatory Budgeting (PB) is a popular voting method by which a limited budget is divided among a set of projects, based on the preferences of voters over the projects. PB is broadly categorised as divisible PB (if the projects are fractionally implementable) and indivisible PB (if the projects are atomic). Egalitarianism, an important objective in PB, has not received much attention in the context of indivisible PB. This paper addresses this gap through a detailed study of a natural egalitarian rule, Maxmin Participatory Budgeting (MPB), in the context of indivisible PB. Our study is in tw
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