Function spaces and trace theorems for maximally subelliptic boundary value problems
Analysis of PDEs
2026-02-05 v2 Classical Analysis and ODEs
Functional Analysis
Abstract
We introduce Besov and Triebel--Lizorkin spaces on a manifold with boundary adapted to H\"ormander 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.
Cite
@article{arxiv.2510.12775,
title = {Function spaces and trace theorems for maximally subelliptic boundary value problems},
author = {Brian Street},
journal= {arXiv preprint arXiv:2510.12775},
year = {2026}
}
Comments
v2: corrections, 125 pages, Part 2 in a series. Part 1: arXiv:2507.03501 Part 3: arXiv:2602.02441