Results 11 to 20 of about 1,448 (158)
Finsler Hardy–Kato's inequality [PDF]
Journal of Mathematical Analysis and Applications, 2019 We prove an improved version of the trace-Hardy inequality, so-called Kato's inequality, on the half-space in Finsler context. The resulting inequality extends the former one obtained by \cite{AFV} in Euclidean context. Also we discuss the validity of the same type of inequalities on open cones.
Alvino, A. +4 more
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Proceedings of the American Mathematical Society, 1990 Here the following Hardy inequalities are studied \[ ∑ k = 0 m − 1 ∫ | ∇
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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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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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Ground states of coupled critical Choquard equations with weighted potentials [PDF]
Opuscula Mathematica, 2022 In this paper, we are concerned with the following coupled Choquard type system with weighted potentials \[\begin{cases} -\Delta u+V_{1}(x)u=\mu_{1}(I_{\alpha}\!\ast\![Q(x)|u|^{\frac{N+\alpha}{N}}])Q(x)|u|^{\frac{\alpha}{N}-1}u+\beta(I_{\alpha}\!\ast\![Q(
Gaili Zhu +3 more
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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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