Results 31 to 40 of about 77,305 (216)

Sharp Poincar\'e-Hardy and Poincar\'e-Rellich inequalities on the hyperbolic space [PDF]

, 2016
We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian $-\Delta_{\mathbb H^N}-(N-1)^2/4$ on the hyperbolic space ${\mathbb H}^N$, $(N-1)^2/4$ being, as it is well-known, the bottom of the $L^2$-spectrum of $-\Delta_ ...
Berchio, Elvise, Ganguly, Debdip, Grillo, Gabriele   +2 more
core   +3 more sources

Many-particle Hardy inequalities [PDF]

Journal of the London Mathematical Society, 2007
In this paper we prove three differenttypes of the so-called many-particle Hardy inequalities. One of them is a "classical type" which is valid in any dimesnion $d\neq 2$. The second type deals with two-dimensional magnetic Dirichlet forms where every particle is supplied with a soplenoid.
Hoffmann-Ostenhof, Maria, Hoffmann-Ostenhof, Thomas, Tidblom, Jesper, Laptev, Ari   +3 more
openaire   +3 more sources

A Reverse Hardy-Hilbert’s Inequality Involving One Partial Sum as the Terms of Double Series

Journal of Function Spaces, 2022
In this paper, by constructing proper weight coefficients and utilizing the Euler-Maclaurin summation formula and the Abel partial summation formula, we establish reverse Hardy-Hilbert’s inequality involving one partial sum as the terms of double series.
Bicheng Yang, Shanhe Wu, Xingshou Huang
doaj   +1 more source

The Hardy-Rellich Inequality for Polyharmonic Operators

, 1998
The Hardy-Rellich inequality given here generalizes a Hardy inequality of Davies (1984), from the case of the Dirichlet Laplacian of a region $\Omega\subseteq\real^N$ to that of the higher order polyharmonic operators with Dirichlet boundary conditions ...
Owen, Mark P.
core   +1 more source

Perturbed Weighted Hardy Inequalities

Journal of Mathematical Analysis and Applications, 1999
The aim of the paper is to prove the inequality \[ \begin{aligned} &\Biggl(\int^T_0 \Biggl(\int^A_0 x^{-1-\beta-\varepsilon \gamma} \int^{x^{\beta}}_0 \int^{\beta^{\gamma}}_0 y^{\varepsilon} \rho (y, t + a) dy da dz \Biggr)^p dt\Biggr)^{1/p}\\ &\leq p \;(\gamma\varepsilon)^{-1} \Biggl(\int^{T+A^{\beta}}_0 \Biggl(\int^{A^{\gamma}}_0 \rho(y,\tau) dy ...
Weidemaier, Peter, Sinnamon, Gord
openaire   +1 more source

Some sharp Hardy inequalities on spherically symmetric domains

, 2008
We prove some sharp Hardy inequalities for domains with a spherical symmetry. In particular, we prove an inequality for domains of the unit $n$-dimensional sphere with a point singularity, and an inequality for functions defined on the half-space $\R_ ...
Chiacchio, Francesco, Ricciardi, Tonia
core   +1 more source

Weighted bilinear Hardy inequalities

Journal of Mathematical Analysis and Applications, 2012
Política de acceso abierto tomada de: https://beta.sherpa.ac.uk/id/publication/11377 ...
Aguilar-Cañestro, María Isabel, Ortega-Salvador, Pedro, Ramírez Torreblanca, Consuelo   +2 more
openaire   +3 more sources

Sharp inequalities over the unit polydisc

, 2015
Motivated by some results due to Burbea we prove that if a certain sharp integral inequality holds for functions in the unit polydisc which belong to concrete Hardy spaces, then it also holds, in an appropriate form, in the case of functions from ...
Markovic, Marijan
core   +1 more source

On Hardy's Inequality

Journal of Mathematical Analysis and Applications, 1999
The following result is proved: Let \(0< b_{n+1}\leq b_n\), \(B_n= \sum^n_{k= 1}b_k\), \(a_n\geq 0\), \(0< \sum^\infty_{n=1} b_na_n< \infty\). Then \[ \sum^\infty_{n= 1} b_{n+ 1}(a^{b_1}_1\cdots a^{b_n}_n)^{1/B_n}< e \sum^\infty_{n= 1} \Biggl[1- {b_n\over 2(B_n+ b_n)}\Biggr] b_na_n.
openaire   +2 more sources

On Hardy q-inequalities [PDF]

Czechoslovak Mathematical Journal, 2014
To appear in Czechoslovak Math.
Maligranda, Lech, Oinarov, Ryskul, Persson, Lars-Erik   +2 more
openaire   +4 more sources