Results 21 to 30 of about 1,448 (158)

Hardy Inequalities on Homogeneous Groups [PDF]

, 2019
This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects.
Ruzhansky, Michael, Suragan, Durvudkhan
openaire   +2 more sources

Some new generalizations of Hardy's integral inequality

International Journal of Mathematics and Mathematical Sciences, 2006
We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.
S. K. Sunanda, C. Nahak, S. Nanda
doaj   +1 more source

Paley and Hardy's inequalities for the Fourier-Dunkl expansions [PDF]

Arab Journal of Mathematical Sciences
Purpose – Paley's and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions based on a complete orthonormal system of Dunkl kernels generalizing the classical exponential system defining the classical Fourier series. Design/
Anis Elgarna
doaj   +1 more source

Hardy's inequality for functions vanishing on a part of the boundary [PDF]

, 2014
We develop a geometric framework for Hardy's inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.Comment: 26 pages, 2 figures, includes several improvements in Sections 6-8 allowing to relax the ...
A Ancona, A Carlsson, A Kufner, A Wannebo, AFM ter Elst, B Opic, C Cazacu, D Kang, DE Edmunds, DE Edmunds, DR Adams, E Giusti, GJ Martin, H Kovarik, J Lehrbäck, J Lehrbäck, J Lehrbäck, J Luukkainen, J Nečas, J Väisälä, J-M Rakotoson, JL Lewis, Joachim Rehberg, JP Garcia Azorero, K Brewster, L Aermark, LC Evans, LG Rogers, LI Hedberg, LOK D’Ambrosio, M Egert, M Marcus, Moritz Egert, O Martio, O Martio, P Hajlasz, PW Jones, R Haller-Dintelmann, R Korte, Robert Haller-Dintelmann, S Yang, T Ekholm, V Liskevich, V Maz’ya, VG Maz’ya, W Ziemer, YuO Koroleva   +46 more
core   +6 more sources

On the extended Hardy's inequality

International Journal of Mathematics and Mathematical Sciences, 2001
We generalize a strengthened version of Hardy's inequality and give a new simpler proof.
Yan Ping
doaj   +1 more source

Short-time free metaplectic transform: Its relation to short-time Fourier transform in $ L^2(\mathbb R^n) $ and uncertainty principles

AIMS Mathematics, 2023
The free metaplectic transformation (FMT) has gained much popularity in recent times because of its various applications in signal processing, paraxial optical systems, digital algorithms, optical encryption and so on.
Aamir H. Dar , Mohra Zayed , M. Younus Bhat   +2 more
doaj   +1 more source

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

The relation between Hardy's non-locality and violation of Bell inequality

, 2010
We give a analytic quantitative relation between Hardy's non-locality and Bell operator. We find that Hardy's non-locality is a sufficient condition for violation of Bell inequality, the upper bound of Hardy's non-locality allowed by information ...
Bell J S, Chen X B, Choudhary S K, Dam W van, Lu X S, Navascués M, Sun Y H, Wen H, Yang Xiang   +8 more
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

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
doaj   +1 more source