Some weighted Hardy-type inequalities on anisotropic Heisenberg groups.
Lian, Bao-Sheng, Yang, Qiao-Hua, Yang, Fen (2011)
Journal of Inequalities and Applications [electronic only]
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Lian, Bao-Sheng, Yang, Qiao-Hua, Yang, Fen (2011)
Journal of Inequalities and Applications [electronic only]
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Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The aim of this article is to present “refined” Hardy-type inequalities. Those inequalities are generalisations of the usual Hardy inequalities, their additional feature being that they are invariant under oscillations: when applied to highly oscillatory functions, both sides of the refined inequality are of the same order of magnitude. The proof relies on paradifferential calculus and Besov spaces. It is also adapted to the case of the Heisenberg group.
Lorenzo D’Ambrosio (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We prove some Hardy-type inequalities related to quasilinear second-order degenerate elliptic differential operators . If is a positive weight such that , then the Hardy-type inequalityholds. We find an explicit value of the constant involved, which, in most cases, results optimal. As particular case we derive Hardy inequalities for subelliptic operators on Carnot Groups.
Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher (2004-2005)
Séminaire Équations aux dérivées partielles
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Lech Maligranda, Ryskul Oinarov, Lars-Erik Persson (2014)
Czechoslovak Mathematical Journal
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Some -analysis variants of Hardy type inequalities of the form with sharp constant are proved and discussed. A similar result with the Riemann-Liouville operator involved is also proved. Finally, it is pointed out that by using these techniques we can also obtain some new discrete Hardy and Copson type inequalities in the classical case.
Plotnikova, E.A. (2008)
Sibirskij Matematicheskij Zhurnal
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Dou, Jingbo, Niu, Pengcheng, Yuan, Zixia (2007)
Journal of Inequalities and Applications [electronic only]
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