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Relevant bibliographies by topics / Hardy's inequalities

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Academic literature on the topic 'Hardy's inequalities'

Author: Grafiati

Published: 6 September 2023

Last updated: 7 September 2023

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Journal articles on the topic "Hardy's inequalities"

1

Chen, Xu, Hong-Yi Su, Zhen-Peng Xu, Yu-Chun Wu, and Jing-Ling Chen. "Quantum nonlocality enhanced by homogenization." International Journal of Quantum Information 12, no. 06 (September 2014): 1450040. http://dx.doi.org/10.1142/s0219749914500403.

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Homogenization proposed in [Y.-C Wu and M. Żukowski, Phys. Rev. A 85 (2012) 022119] is a procedure to transform a tight Bell inequality with partial correlations into a full-correlation form that is also tight. In this paper, we check the homogenizations of two families of n-partite Bell inequalities: the Hardy inequality and the tight Bell inequality without quantum violation. For Hardy's inequalities, their homogenizations bear stronger quantum violation for the maximally entangled state; the tight Bell inequalities without quantum violation give the boundary of quantum and supra-quantum, but their homogenizations do not have the similar properties. We find their homogenization are violated by the maximally entangled state. Numerically computation shows the the domains of quantum violation of homogenized Hardy's inequalities for the generalized GHZ states are smaller than those of Hardy's inequalities.

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Lefèvre, Pascal. "Weighted discrete Hardy's inequalities." Ukrains’kyi Matematychnyi Zhurnal 75, no. 7 (July 25, 2023): 1009–12. http://dx.doi.org/10.37863/umzh.v75i7.7201.

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UDC 517.5 We give a short proof of a weighted version of the discrete Hardy inequality. This includes the known case of classical monomial weights with optimal constant. The proof is based on the ideas of the short direct proof given recently in [P. Lefèvre, Arch. Math. (Basel), <strong>114</strong>, № 2, 195–198 (2020)].

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Oguntuase, J., and B. Popoola. "Refinement of Hardy's Inequalities Involving Many Functions Via Superquadratic Functions." Annals of the Alexandru Ioan Cuza University - Mathematics 57, no. 2 (January 1, 2011): 271–83. http://dx.doi.org/10.2478/v10157-011-0026-z.

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Refinement of Hardy's Inequalities Involving Many Functions Via Superquadratic FunctionsSome new refined Hardy type integral inequalities involvingnfunctions (n∈ Z+) via superquadratic functions are established forp≥ 2 and their dual inequalities are also derived. In particular, the results obtained complement and improve some recent results of Oguntuase and Persson.

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Bicheng, Yang, and Lokenath Debnath. "Generalizations of Hardy's integral inequalities." International Journal of Mathematics and Mathematical Sciences 22, no. 3 (1999): 535–42. http://dx.doi.org/10.1155/s0161171299225355.

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This paper deals with some new generalizations of Hardy's integral inequalities. Some cases concerning whether the constant factors involved in these inequalities are best possible are discussed in some detail.

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SATAKE, Makoto. "Hardy's inequalities for Laguerre expansions." Journal of the Mathematical Society of Japan 52, no. 1 (January 2000): 17–24. http://dx.doi.org/10.2969/jmsj/05210017.

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Krnić, Mario, and Josip Pečarić. "General Hilbert's and Hardy's inequalities." Mathematical Inequalities & Applications, no. 1 (2005): 29–51. http://dx.doi.org/10.7153/mia-08-04.

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GALAKTIONOV, VICTOR A. "ON EXTENSIONS OF HARDY'S INEQUALITIES." Communications in Contemporary Mathematics 07, no. 01 (February 2005): 97–120. http://dx.doi.org/10.1142/s0219199705001659.

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Sababheh, Mohammad. "Hardy Inequalities on the Real Line." Canadian Mathematical Bulletin 54, no. 1 (March 1, 2011): 159–71. http://dx.doi.org/10.4153/cmb-2010-091-8.

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AbstractWe prove that some inequalities, which are considered to be generalizations of Hardy's inequality on the circle, can be modified and proved to be true for functions integrable on the real line. In fact we would like to show that some constructions that were used to prove the Littlewood conjecture can be used similarly to produce real Hardy-type inequalities. This discussion will lead to many questions concerning the relationship between Hardy-type inequalities on the circle and those on the real line.

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Ruzhansky, Michael, and Daulti Verma. "Hardy inequalities on metric measure spaces." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2223 (March 2019): 20180310. http://dx.doi.org/10.1098/rspa.2018.0310.

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In this note, we give several characterizations of weights for two-weight Hardy inequalities to hold on general metric measure spaces possessing polar decompositions. Since there may be no differentiable structure on such spaces, the inequalities are given in the integral form in the spirit of Hardy's original inequality. We give examples obtaining new weighted Hardy inequalities on R n , on homogeneous groups, on hyperbolic spaces and on Cartan–Hadamard manifolds. We note that doubling conditions are not required for our analysis.

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C˘iz˘mes˘ija, Aleksandra, and Josip Pec˘arić. "Some new generalisations of inequalities of Hardy and Levin–Cochran–Lee." Bulletin of the Australian Mathematical Society 63, no. 1 (February 2001): 105–13. http://dx.doi.org/10.1017/s000497270001916x.

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In this paper finite versions of Hardy's discrete, Hardy's integral and the Levin–Cochran–Lee inequalities will be considered and some new generalisations of these inequalities will be derived. Moreover, it will be shown that the constant factors involved in the right-hand sides of the integral results obtained are the best possible.

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Dissertations / Theses on the topic "Hardy's inequalities"

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Irvine, William Thomas Mark. "Hardy's thought experiment, Bell's inequalities and entanglement from photonic crystals." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442452.

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Tidblom, Jesper. "Improved Lp Hardy Inequalities." Doctoral thesis, Stockholm : Department of Mathematics, Stockholm University, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-615.

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Wedestig, Anna. "Weighted inequalities of Hardy-type and their limiting inequalities /." Luleå, 2003. http://epubl.luth.se/1402-1544/2003/17.

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Johansson, Maria. "Hardy and Carleman type inequalities /." Luleå, 2004. http://epubl.luth.se/1402-1757/2004/81.

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Handley, G. D. "Hilbert and Hardy type inequalities /." Connect to thesis, 2005. http://eprints.unimelb.edu.au/archive/00000818.

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Johansson, Maria. "Carleman type inequalities and Hardy type inequalities for monotone functions /." Luleå : Luleå University of Technology, 2007. http://epubl.ltu.se/1402-1544/2007/53/.

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Routin, Eddy. "Local Tb theorems and Hardy type inequalities." Phd thesis, Université Paris Sud - Paris XI, 2011. http://tel.archives-ouvertes.fr/tel-00656023.

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In this thesis, we study local Tb theorems for singular integral operators in the setting of spaces of homogeneous type. We give a direct proof of the local Tb theorem with L^2 integrability on the pseudo- accretive system. Our argument relies on the Beylkin-Coifman-Rokhlin algorithm applied in adapted Haar wavelet basis and some stopping time results. Motivated by questions of S. Hofmann, we extend it to the case when the integrability conditions are lower than 2, with an additional weak boundedness type hypothesis, which incorporates some Hardy type inequalities. We study the possibility of relaxing the support conditions on the pseudo-accretive system to a slight enlargement of the dyadic cubes. We also give a result in the case when, for practical reasons, hypotheses on the pseudo-accretive system are made on balls rather than dyadic cubes. Finally we study the particular case of perfect dyadic operators for which the proof gets much simpler. Our argument gives us the opportunity to study Hardy type inequalities. The latter are well known in the Euclidean setting, but seem to have been overlooked in spaces of homogeneous type. We prove that they hold without restriction in the dyadic setting. In the more general case of a ball B and its corona 2B\B, they can be obtained from some geometric conditions relative to the distribution of points in the homogeneous space. For example, we prove that some relative layer decay property suffices. We also prove that this property is implied by the monotone geodesic property of Tessera. Finally, we give some explicit examples and counterexamples in the complex plane to illustrate the relationship between the geometry of the homogeneous space and the validity of the Hardy type inequalities.

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Abuelela, Waleed Mostafa Kamal Abdelfatah. "Hardy type inequalities for non-convex domains." Thesis, University of Birmingham, 2010. http://etheses.bham.ac.uk//id/eprint/1268/.

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Chen, Tieling. "Weak and strong inequalities for Hardy type operators." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ58204.pdf.

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Okpoti, Christopher Adjei. "Weight characterizations of Hardy and Carleman type inequalities /." Luleå : Department of Mathematics, Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1544/2006/36/.

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Books on the topic "Hardy's inequalities"

1

Grosse-Erdmann, Karl-Goswin. The blocking technique: Weighted mean operators and Hardy's inequality. Berlin: Springer, 1998.

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Opic, B. Hardy-type inequalities. Harlow, Essex, England: Longman Scientific & Technical, 1990.

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Opic, B. Hardy-type inequalities. Harlow, Essex, England: Longman Scientific & Technical, 1990.

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4

1944-, Persson Lars Erik, ed. Weighted inequalities of Hardy type. River Edge, N.J: World Scientific, 2003.

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Ruzhansky, Michael. Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities. Cham: Springer Nature, 2019.

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Ruzhansky, Michael, and Durvudkhan Suragan. Hardy Inequalities on Homogeneous Groups. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-02895-4.

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1924-, Everitt W. N., London Mathematical Society, and International Conference on Inequalities (1987 : University of Birmingham), eds. Inequalities: Fifty years on from Hardy, Littlewood, and Pólya : proceedings of the international conference. New York: M. Dekker, 1991.

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Agarwal, Ravi P., Donal O'Regan, and Samir H. Saker. Hardy Type Inequalities on Time Scales. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44299-0.

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9

Amrein, Werner O. Hardy type inequalities for abstract differential operators. Providence, R.I., USA: American Mathematical Society, 1987.

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Rubio de Francia, J.-L., 1949-, ed. Weighted norm inequalities and related topics. Amsterdam: North-Holland, 1985.

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Book chapters on the topic "Hardy's inequalities"

1

Balinsky, Alexander A., W. Desmond Evans, and Roger T. Lewis. "Hardy, Sobolev, and CLR Inequalities." In The Analysis and Geometry of Hardy's Inequality, 1–48. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22870-9_1.

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Balinsky, Alexander A., W. Desmond Evans, and Roger T. Lewis. "Hardy, Sobolev, Maz’ya (HSM) Inequalities." In The Analysis and Geometry of Hardy's Inequality, 135–64. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22870-9_4.

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Balinsky, Alexander A., W. Desmond Evans, and Roger T. Lewis. "Inequalities and Operators Involving Magnetic Fields." In The Analysis and Geometry of Hardy's Inequality, 165–212. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22870-9_5.

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Triebel, Hans. "Hardy inequalities." In The Structure of Functions, 235–42. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8257-6_16.

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Liflyand, Elijah. "Hardy Inequalities." In Pathways in Mathematics, 131–40. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81892-0_7.

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Mitrinović, D. S., J. E. Pečarić, and A. M. Fink. "Hardy’s, Carleman’s and Related Inequalities." In Inequalities Involving Functions and Their Integrals and Derivatives, 143–86. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3562-7_4.

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Ghoussoub, Nassif, and Amir Moradifam. "Weighted Hardy inequalities." In Mathematical Surveys and Monographs, 45–58. Providence, Rhode Island: American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/187/04.

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Ghoussoub, Nassif, and Amir Moradifam. "General Hardy inequalities." In Mathematical Surveys and Monographs, 125–41. Providence, Rhode Island: American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/187/09.

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Agarwal, Ravi P., Shusen Ding, and Craig Nolder. "Hardy–Littlewood inequalities." In Inequalities for Differential Forms, 1–56. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-68417-8_1.

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Kufner, Alois. "Overdetermined Hardy inequalities." In General Inequalities 7, 391. Basel: Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8942-1_31.

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Conference papers on the topic "Hardy's inequalities"

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EVANS, W. D. "RECENT RESULTS ON HARDY AND RELLICH INEQUALITIES." In Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_0002.

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ESTEBAN, MARIA J., and MICHAEL LOSS. "SELF-ADJOINTNESS VIA PARTIAL HARDY-LIKE INEQUALITIES." In Proceedings of the QMath10 Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812832382_0004.

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Abramovich, Shoshana, Lars-Erik Persson, and Natasha Samko. "On some new developments of Hardy-type inequalities." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765570.

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TERTIKAS, A., and N. B. ZOGRAPHOPOULOS. "OPTIMIZING IMPROVED HARDY INEQUALITIES FOR THE BIHARMONIC OPERATOR." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0202.

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Sabitbek, Bolys, Durvudkhan Suragan, and Nurgissa Yessirkegenov. "Improved critical Hardy inequalities on 2-dimensional quasi-balls." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000606.

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Sulaiman, W. T. "Hardy‐Hilbert’s Integral Inequalities for Convex and Concave Functions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990975.

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Kutev, Nikolai, and Tsviatko Rangelov. "Sharp Hardy inequalities in an exterior of a ball." In SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040127.

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Kutev, Nikolai, and Tsviatko Rangelov. "Applications of Hardy inequalities for some singular parabolic equations." In EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0083550.

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Sabitbek, Bolys. "On Hardy and Rellich type inequalities for an Engel-type operator." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000640.

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"Hardy-type inequalities with additional terms and Lamb-type parametric equations." In Уфимская осенняя математическая школа - 2022. Т.1. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh1t-2022-09-28.49.

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