Results 31 to 40 of about 5,566 (171)
On some extensions of Hardy’s inequality
International Journal of Mathematics and Mathematical Sciences, 1985 We present in this paper some new integral inequalities which are related to Hardy's inequality, thus bringing into sharp focus some of the earlier results of the author.
Christopher O. Imoru
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Some new scales of characterization of Hardy’s inequality; pp. 7–18 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Let 1 lt; p ⤠q lt; â. Inspired by some recent results concerning Hardy-type inequalities where the equivalence of four scales of integral conditions was proved, we use related ideas to find ten new equivalence scales of integral conditions.
Amiran Gogatishvili +2 more
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Hardy's paradox tested in the spin-orbit Hilbert space of single photons
, 2014 We test experimentally the quantum ``paradox'' proposed by Lucien Hardy in 1993 [Phys. Rev. Lett. 71, 1665 (1993)] by using single photons instead of photon pairs.
Boyd, Robert W. +6 more
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Bridging the Gap: Student Voices on Recruitment and Retention in Ecology
The Bulletin of the Ecological Society of America, EarlyView.Abstract Students entering ecology and environmental science face a variety of challenges, including limited awareness of career paths, lack of mentorship, and difficulties connecting with peers and faculty. These challenges are often amplified for students from marginalized backgrounds, who may also encounter microaggressions, underrepresentation, and
Alexis Ellis +9 more
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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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Bell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states [PDF]
, 2002 A proof of Bell's theorem without inequalities valid for both inequivalent classes of three-qubit entangled states under local operations assisted by classical communication, namely Greenberger-Horne-Zeilinger (GHZ) and W, is described.
A. Acín +37 more
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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A generalization of some integral inequalities similar to Hardy inequality on time scales
Kuwait Journal of ScienceIn this paper, we prove some new dynamic inequalities similar to Hardy's inequality on time scales T. The results as special cases when T = R contain continuous inequalities similar to Hardy's inequality, and when T = Z, the results contain discrete ...
Wafy M. Hasan +3 more
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Ground state solutions for Kirchhoff-type equations with general nonlinearity in low dimension
Boundary Value Problems, 2021 This paper is dedicated to studying the following Kirchhoff-type problem: { − m ( ∥ ∇ u ∥ L 2 ( R N ) 2 ) Δ u + V ( x ) u = f ( u ) , x ∈ R N ; u ∈ H 1 ( R N ) , $$ \textstyle\begin{cases} -m ( \Vert \nabla u \Vert ^{2}_{L^{2}(\mathbb{R} ^{N})} )\Delta u+
Jing Chen, Yiqing Li
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Device-independent bounds for Hardy's experiment
, 2012 In this Letter we compute an analogue of Tsirelson's bound for Hardy's test of nonlocality, that is, the maximum violation of locality constraints allowed by the quantum formalism, irrespective of the dimension of the system. The value is found to be the
A. Doherty +8 more
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