An embedding theorem for the fractional Sobolev space on homogeneous groups

DOI10.1063/1.5000601zbMath1494.46035OpenAlexW2754338560MaRDI QIDQ5062158

Aidyn Kassymov, Durvudkhan Suragan

Publication date: 15 March 2022

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000601

zbMATH Keywords

Brezis-Ponce methodfractional Sobolev spaces on homogeneous groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract harmonic analysis (43A99)

Cites Work

• Quantization on nilpotent Lie groups
• Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
• 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
• On trace formulae of the generalised heat potential operator
• Local Hardy and Rellich inequalities for sums of squares of vector fields
• On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Anisotropic L2-weighted Hardy and L2-Caffarelli–Kohn–Nirenberg inequalities

This page was built for publication: An embedding theorem for the fractional Sobolev space on homogeneous groups