4 papers
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…
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…
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…
-Poincaré inequalities on Carnot Groups with filiform type Lie algebra
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this paper, we prove (global) -Poincaré inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under…