Coercive inequalities in higher-dimensional anisotropic heisenberg group
Coercive inequalities in higher-dimensional anisotropic heisenberg group
Abstract In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincaré and $$\beta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>β</mml:mi> </mml:math> -Logarithmic Sobolev inequalities for measures as a function of this fundamental solution.