Results 11 to 20 of about 1,472 (177)
Sharp Hardy inequalities in the half space with trace remainder term [PDF]
, 2011 In this paper we deal with a class of inequalities which interpolate the Kato's inequality and the Hardy's inequality in the half space. Starting from the classical Hardy's inequality in the half space $\rnpiu =\R^{n-1}\times(0,\infty)$, we show that, if
Adele Ferone +6 more
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Journal of the European Mathematical Society, 2004 In this well-written paper, the authors study operators of the form $L=-\\Delta -µd^{-2}$, where $d(x)={\\rm dist}(x,\\Sigma)$, $µ\\in R$ and $\\Sigma \\subset R^{n}$. More precisely, they study inequalities which suggest that the operator $L$ has a positive first eigenvalue.
Davila, Juan, Dupaigne, Louis
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Synchronization Analysis of Multiple Integral Inequalities Driven by Steklov Operator
Fractal and Fractional, 2021 We construct a subclass of Copson’s integral inequality in this article. In order to achieve this goal, we attempt to use the Steklov operator for generalizing different inequalities of the Copson type relevant to the situations ρ>1 as well as ...
Wedad Albalawi, Zareen A. Khan
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Hardy's paradox and violation of a state-independent Bell inequality in time [PDF]
, 2010 Tests such as Bell's inequality and Hardy's paradox show that joint probabilities and correlations between distant particles in quantum mechanics are inconsistent with local realistic theories.
Almeida, Marcelo P. +4 more
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Taiwanese Journal of Mathematics, 2000 Hardy- and Paley-type inequalities are proved for \(n\)-dimensional Hermite and special Hermite expansions. However, there is a gap in the proof of the main theorem. In Proposition 3.1 the author should have investigated a sum of type \(\sum_{\mu_1,\ldots,\mu_n \in \mathbb N}\), though the sums \(\sum_{\mu_1,\ldots,\mu_n \leq \nu}\) and \(\sum_{\mu_1 ...
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Overdetermined Hardy Inequalities
Journal of Mathematical Analysis and Applications, 1997 The aim of the paper is to find necessary and sufficient conditions on the weights \(w\) and \(w_0\) for the validity of the higher-order Hardy inequality \[ \Biggl(\int^1_0| u|^qw_0\Biggr)^{1/q}\leq C\Biggl(\int^1_0| u^{(k+ 1)}|^p w\Biggr)^{1/p} \] on the class of all solutions of certain overdetermined boundary value problems.
Kufner, Alois, Sinnamon, Gordon
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Factorization of Cesàro operator and related inequalities
Journal of Inequalities and Applications, 2021 In this paper, we introduce two factorizations for the Cesàro matrix of order n based on Cesàro and gamma matrices. The results of these factorizations are new inequalities, one of which is a generalized version of the well-known Hardy’s inequality ...
Hadi Roopaei
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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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Critical Hardy–Sobolev inequalities
Journal de Mathématiques Pures et Appliquées, 2007 We consider Hardy inequalities in $I R^n$, $n \geq 3$, with best constant that involve either distance to the boundary or distance to a surface of co-dimension ...
Filippas, S., Maz'ya, V., Tertikas, A.
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A Variety of Nabla Hardy’s Type Inequality on Time Scales
Mathematics, 2022 The primary goal of this research is to prove some new Hardy-type ∇-conformable dynamic inequalities by employing product rule, integration by parts, chain rule and (γ,a)-nabla Hölder inequality on time scales.
Ahmed A. El-Deeb +3 more
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