Results 31 to 40 of about 760,630 (259)

A Generalization on Some New Types of Hardy-Hilbert’s Integral Inequalities

Journal of Function Spaces and Applications, 2013
Sulaiman presented, in 2008, new kinds of Hardy-Hilbert’s integral inequality in which the weight function is homogeneous. In this paper, we present a generalization on the kinds of Hardy-Hilbert’s integral inequality.
Banyat Sroysang
doaj   +1 more source

Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups

Bulletin of Mathematical Sciences, 2020
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan   +2 more
doaj   +1 more source

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

q-Hardy type inequalities for quantum integrals

Advances in Difference Equations, 2021
The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
doaj   +1 more source

Remarks on the hardy inequality

Journal of Inequalities and Applications, 1997
Let D be an open subset of ℝn(n≥2) with finite Lebesgue n-measure, let d(x) be the distance from x∈ℝn to the boundary ∂D of D, and let ...
R. Hurri–Syrjänen, D. E. Edmunds   +1 more
doaj   +2 more sources

Some new refinements of strengthened Hardy and Pólya–Knopp's inequalities

Journal of Function Spaces and Applications, 2009
We prove a new general one-dimensional inequality for convex functions and Hardy–Littlewood averages. Furthermore, we apply this result to unify and refine the so-called Boas's inequality and the strengthened inequalities of the Hardy–Knopp–type ...
Aleksandra Čižmešija, Sabir Hussain, Josip Pečarić   +2 more
doaj   +1 more source

Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

, 2017
We propose the analogues of boundary layer potentials for the sub-Laplacian on homogeneous Carnot groups/stratified Lie groups and prove continuity results for them.
Michael Ruzhansky, D. Suragan
semanticscholar   +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

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

Characterizations for fractional Hardy inequality [PDF]

, 2013
We provide a Maz'ya-type characterization for a fractional Hardy inequality. As an application, we show that a bounded open set G admits a fractional Hardy inequality if and only if the associated fractional capacity is quasiadditive with respect to ...
Bartłomiej Dyda, A. Vähäkangas
semanticscholar   +1 more source