Results 21 to 30 of about 5,533 (137)
Some reverse inequalities of Hardy type on time scales
Advances in Difference Equations, 2020 In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales.
A. A. El-Deeb +2 more
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A Hardy's Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra [PDF]
, 2010 In this article we consider linear operators satisfying a generalized commutation relation of a type of the Heisenberg-Lie algebra. It is proven that a generalized inequality of the Hardy's uncertainty principle lemma follows.
A. Arai +13 more
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AIMS Mathematics, 2023 The free metaplectic transformation (FMT) has gained much popularity in recent times because of its various applications in signal processing, paraxial optical systems, digital algorithms, optical encryption and so on.
Aamir H. Dar +2 more
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On Bicheng-Debnath's generalizations of Hardy's integral inequality
International Journal of Mathematics and Mathematical Sciences, 2001 We consider Hardy's integral inequality and we obtain some new generalizations of Bicheng-Debnath's recent results. We derive two distinguished classes of inequalities covering all admissible choices of parameter k from Hardy's original relation ...
Aleksandra Cižmešija, Josip Pecaric
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Lp Hardy's identities and inequalities for Dunkl operators
Advanced Nonlinear Studies, 2022 The main purpose of this article is to establish the Lp{L}^{p} Hardy’s identities and inequalities for Dunkl operator on any finite balls and the entire space RN{{\mathbb{R}}}^{N}. We also prove Hardy’s identities and inequalities on certain domains with
Wang Jianxiong
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Hardy's Paradox for High-Dimensional Systems: Beyond Hardy's Limit
, 2013 Hardy's proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy's as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local systems, and (iii)
Cabello, Adan +5 more
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Hardy’s inequalities and integral operators on Herz-Morrey spaces
Open Mathematics, 2020 We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
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Hardy's Inequality for the fractional powers of Grushin operator
, 2016 We prove Hardy's inequality for the fractional powers of the generalized sublaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers of generalized ...
Boris-Marko Kukovec (2131279) +2 more
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Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives
Journal of Inequalities and Applications, 2021 In this paper, we establish some necessary and sufficient conditions for the validity of a generalized dynamic Hardy-type inequality with higher-order derivatives with two different weighted functions on time scales.
S. H. Saker, R. R. Mahmoud, K. R. Abdo
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Hardy's criterion of nonlocality for mixed states
, 2006 We generalize Hardy's proof of nonlocality to the case of bipartite mixed statistical operators, and we exhibit a necessary condition which has to be satisfied by any given mixed state $\sigma$ in order that a local and realistic hidden variable model ...
Ghirardi, GianCarlo, Marinatto, Luca
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