16 citations · 41 across the 12 of their papers we have counts for
4 papers · 1 filter
Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper, we present the geometric Hardy inequality for the sub-Laplacian in the half-spaces on the stratified groups. As a consequence, we obtain the following geometric Hard…
Weighted anisotropic Hardy and Rellich type inequalities for general vector fields
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
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…
Subelliptic geometric Hardy type inequalities on half-spaces and convex domains
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper we present and versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the…
Hardy and Rellich inequalities for anisotropic p-sub-Laplacians
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper we establish the subelliptic Picone type identities. As consequences, we obtain Hardy and Rellich type inequalities for anisotropic p-sub- Laplacians which are operat…