Coercive Inequalities in Higher-Dimensional Anisotropic Heisenberg Group
Abstract
In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincar\'e and β-Logarithmic Sobolev inequalities for measures as a function of this fundamental solution.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.