In this paper, we present a version of horizontal weighted Hardy–Rellich type and Caffarelli–
Kohn–Nirenberg type inequalities on stratified groups and study some of their …

In this paper we give an extension of the classical Caffarelli-Kohn-Nirenberg inequalities: we
show that for $1< p, q<\infty $, $0< r<\infty $ with $ p+ q\geq r $, $\delta\in [0, 1]\cap\left [\frac …

Hardy type inequalities have been also studied intensively on homogeneous Carnot groups.
These problems are important in the analysis of sub-Laplacian and p-sub-Laplacian on …

In this paper, we obtain a reverse version of the integral Hardy inequality on metric measure
space with two negative exponents. For applications we show the reverse Hardy–Littlewood …

In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted L^ p L
p-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp …

Dans cet article, nous donnons une extension des inégalités classiques de Caffarelli–Kohn–
Nirenberg relativement à l'étendue du domaine des paramètres. Nous établissons …

In this paper we present a unified simple approach to anisotropic Hardy inequalities in
various settings. We consider Hardy inequalities which involve a Finsler distance from a …

In this paper, generalised weighted L^ p L p-Hardy, L^ p L p-Caffarelli–Kohn–Nirenberg,
and L^ p L p-Rellich inequalities with boundary terms are obtained on stratified Lie groups …

Abstract We define Euler–Hilbert–Sobolev spaces and obtain embedding results on
homogeneous groups using Euler operators, which are homogeneous differential operators …

In this paper we prove the Hardy inequalities for the quadratic form of the Laplacian with the
Landau Hamiltonian type magnetic field. Moreover, we obtain a Poincaré type inequality …