Coercive inequalities in higher-dimensional anisotropic Heisenberg group

DOI10.1007/s13324-021-00609-xzbMath1489.53043arXiv2105.02593OpenAlexW3209098100MaRDI QIDQ2243940

Esther Bou Dagher, Bogusław Zegarliński

Publication date: 11 November 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02593

zbMATH Keywords

fundamental solutionlogarithmic Sobolev inequalityPoincaré inequalityprobability measuresanisotropic Heisenberg groupsub-gradient

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items (4)

Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups ⋮ Coercive inequalities and U-bounds on step-two Carnot groups ⋮ Note on the q-logarithmic Sobolev and p-Talagrand inequalities on Carnot groups ⋮ Stability theorems for H-type Carnot groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modules of systems of measures on polarizable Carnot groups
• A unified approach to weighted Hardy type inequalities on Carnot groups
• From \(U\)-bounds to isoperimetry with applications to H-type groups
• Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups
• Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups
• The Hardy inequality and nonlinear parabolic equations on Carnot groups
• On gradient bounds for the heat kernel on the Heisenberg group
• Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications
• Coercive inequalities on metric measure spaces
• The log-Sobolev inequality for weakly coupled lattice fields
• Subelliptic estimates and function spaces on nilpotent Lie groups
• The log-Sobolev inequality for unbounded spin systems
• Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups
• Polar coordinates in Carnot groups
• Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
• Factorizations and Hardy-Rellich inequalities on stratified groups
• On the Lie algebra of polarizable Carnot groups
• Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition in variable exponent Sobolev spaces
• Coercive inequalities for Hörmander type generators in infinite dimensions
• Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups
• Hardy-Sobolev type inequalities with sharp constants in Carnot-Carathéodory spaces
• Hypoelliptic heat kernel inequalities on Lie groups
• Best constants in the Hardy-Rellich type inequalities on the Heisenberg group
• Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg
• High order representation formulas and embedding theorems on stratified groups and generalizations
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Séminaire de Probabilités XXXVI
• Entropy bounds and isoperimetry

This page was built for publication: Coercive inequalities in higher-dimensional anisotropic Heisenberg group