2025/10/14 by Brian Street, Street, Brian
Computer Science · Engineering · Mathematics · #2020: 46E35 (Primary) #35G15 #46E36 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Stability and Controllability of Differential Equations #and 35H20 (Secondary)
paper · pdf · doi:10.48550/arxiv.2510.12775
openalex publication_date 2025/10/14 · openalex created_date 2025/10/17 · openalex updated_date 2026/07/28
We introduce Besov and Triebel--Lizorkin spaces on a manifold with boundary adapted to Hörmander vector fields, near a so-called non-characteristic point of the boundary. We prove sharp results in these spaces for the corresponding restriction and trace operators, show these operators are retractions, and other related results. This is the second paper in a forthcoming series devoted to a general theory of maximally subelliptic boundary value problems, and lays the function space foundation for this general theory.