Special Session 80: Functional inequalities and PDEs

Geometric Hardy inequalities on the Heisenberg group
Gerassimos Barbatis
National and Kapodistrian University of Athens
Greece
Co-Author(s):    Marianna Chatzakou, Achilles Tertikas
Abstract:
We present some new $L^p$ Hardy inequalities on the Heisenberg group which involve the distance to the boundary. We adopt an abstract approach which allows us to obtain inequalities with various distances. Some new Hardy inequalities for Carnot groups of step two are also established. The constants obtained are sharp. Joint work with M. Chatzakou and A. Tertikas