79 citations · 356 across the 65 of their papers we have counts for
4 papers · 1 filter
Layer potentials, Green's formulae, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
Michael Ruzhansky, Durvudkhan Suragan
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. In particular,…
Isoperimetric inequalities for Schatten norms of Riesz potentials
Grigori Rozenblum, Michael Ruzhansky, Durvudkhan Suragan
In this note we prove that the ball is a maximiser of some Schatten -norms of the Riesz potential operators among all domains of a given measure in . In particula…
On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group
Michael Ruzhansky, Durvudkhan Suragan
In this note we construct an integral boundary condition for the Kohn Laplacian in a given domain on the Heisenberg group extending to the setting of the Heisenberg group M. Kac's…
Isoperimetric inequalities for the logarithmic potential operator
Michael Ruzhansky, Durvudkhan Suragan
In this paper we prove that the disc is a maximiser of the Schatten -norm of the logarithmic potential operator among all domains of a given measure in , for all…