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 …

We prove existence and nonexistence results for positive solutions to the subelliptic Brezis-
Nirenberg type problem with Hardy potential $$-\Delta_ {\mathbb G} u-\mu\frac {\psi^ 2}{d …

In this note, we give several characterizations of weights for two-weight Hardy inequalities to
hold on general metric measure spaces possessing polar decompositions. Since there may …

In this paper we derive a variety of functional inequalities for general homogeneous
invariant hypoelliptic differential operators on nilpotent Lie groups. The obtained inequalities …

In this paper, we continue our investigations giving the characterization of weights for two-
weight Hardy inequalities to hold on general metric measure spaces possessing polar …

In this note, we prove the Stein–Weiss inequality on general homogeneous Lie groups. The
obtained results extend previously known inequalities. Special properties of homogeneous …

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 …

Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups |
International Mathematics Research Notices | Oxford Academic Skip to Main Content …

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 paper we discuss cylindrical extensions of improved Hardy, Sobolev type and
Caffarelli-Kohn-Nirenberg type inequalities with sharp constants and identities in the spirit of …