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 …

arXiv:1412.7717v2 [math.AP] 28 Dec 2014 Page 1 arXiv:1412.7717v2 [math.AP] 28 Dec 2014
HARDY INEQUALITIES AND NON-EXPLOSION RESULTS FOR SEMIGROUPS KRZYSZTOF …

This paper is devoted to considering the following Hardy-Sobolev inequality\[\int_ {\mathbb
{R}^ N}|\nabla u|^ p\mathrm {d} x\geq\mathcal {S} _\beta\left (\int_ {\mathbb {R}^ N}\frac …

We find a simple sufficient criterion on a pair of nonnegative weight functions $ V (x) $ and $
W (x) $ on a Carnot group $\mathbb {G}, $ so that the general weighted $ L^{p} $ Hardy type …

In this paper, we investigate certain integral inequalities similar to Hardy's inequality. By
introducing a monotonous function, we establish generalized versions of some known …

In this paper, we study generalizations of some integral inequalities related to Hardy type
integral inequalities via (p, q)-calculus. Many results obtained in this paper provide …

Abstract Let Ω⊆ R n be a given subset, p> 1 and W ρ 1, p (Ω)={f∈ L loc 1 (Ω): f,∂ f∂ x
1,…,∂ f∂ xn∈ L ρ p (Ω)}, be the weighted Sobolev space subordinated to the weight …

In this paper, we establish the weighted anisotropic Hardy and Rellich type inequalities with
boundary terms for general (real-valued) vector fields. As consequences, we derive new as …

In this paper we present new results on two‐weight Hardy, Hardy–Poincaré and Rellich type
inequalities with remainder terms on a complete noncompact Riemannian Manifold M. The …

We apply general Hardy type inequalities, recently obtained by the author. As a
consequence we obtain a family of Hardy–Poincaré inequalities with certain constants …