p-sub-Laplacian representation formulae on H-type groups
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Publication:5002435
DOI10.1063/1.5013974zbMath1465.35259OpenAlexW2772719104MaRDI QIDQ5002435
Aidyn Kassymov, Durvudkhan Suragan
Publication date: 27 July 2021
Published in: AIP Conference Proceedings (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5013974
Cites Work
- Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
- On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups
- Green functions for weighted subelliptic \(p\)-Laplace operator constructed by Hörmander's vector fields
- Isoperimetric inequalities for the logarithmic potential operator
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Polar coordinates in Carnot groups
- Local Hardy and Rellich inequalities for sums of squares of vector fields
- On Green functions for Dirichlet sub-Laplacians on \(H\)-type groups
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups
- Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
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