3 papers
math.AP2026
Geometric Hardy inequalities on the Heisenberg groups via convexity
Gerassimos Barbatis, Marianna Chatzakou, Achilles Tertikas
We prove -Hardy inequalities with distance to the boundary for domains in the Heisenberg group , . Our results are based on a certain geometric condit…
math.FA2026
Poincaré inequalities on Carnot Groups and spectral gap of Schrödinger operators
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this work we give a sufficient condition under which the global Poincaré inequality on Carnot groups holds true for a large family of probability measures absolutely continuous…
math.FA2024
Geometric logarithmic-Hardy and Hardy-Poincaré inequalities on stratified groups
Marianna Chatzakou
We develop a unified strategy to obtain the geometric logarithmic Hardy inequality on any open set M of a stratified group, provided the validity of the Hardy inequality in this se…