Results 21 to 30 of about 5,566 (171)
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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Hardy's nonlocality for generalized n-particle GHZ states
, 2004 In this paper we extend Hardy's nonlocality proof for two spin-1/2 particles [PRL 71 (1993) 1665] to the case of n spin-1/2 particles configured in the generalized GHZ state.
Brukner +19 more
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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 inequality for fractional powers of the sublaplacian on the Heisenberg group
, 2016 We prove Hardy inequalities for the conformally invariant fractional powers of the sublaplacian on the Heisenberg group $\mathbb{H}^n$. We prove two versions of such inequalities depending on whether the weights involved are non-homogeneous or ...
Roncal, L., Thangavelu, S.
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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 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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Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential
Abstract and Applied Analysis, 2012 We discuss the asymptotic behavior of solutions for semilinear parabolic equations on the Heisenberg group with a singular potential. The singularity is controlled by Hardy's inequality, and the nonlinearity is controlled by Sobolev's inequality. We also
Houda Mokrani, Fatimetou Mint Aghrabatt
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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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Minimum Detection Efficiencies for a Loophole-Free Bell-type Test
, 2009 We discuss the problem of finding the most favorable conditions for closing the detection loophole in a test of local realism with a Bell inequality. For a generic non-maximally entangled two-qubit state and two alternative measurement bases we apply ...
G. Garbarino, J. S. Bell, W. Rosenfeld
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Some Hardy's inequalities on conformable fractional calculus
Demonstratio MathematicaIn this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada +5 more
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